Learn how to determine the quadrant of an angle given in radians. Recall that 1 radian is the distance on the circumference of the circle that is equivalent to the radius of the circle. Also recall that the circumference of a circle is equivalent to 2pi radians.
To determine the quadrant of the angle in radians written in terms of pi, we divide the top half and the bottom half of circumference of the circle into the number of parts corresponding to the denominator of the radian angle. Then we count from the positive x-axis in an anti-clockwise direction for positive angles and in the clockwise direction for negative angles the number of parts corresponding to the coefficient of pi in the numerator.
The quadrant where the number of parts corresponds to the coefficient of the pi in the numerator of radian angle is the required quadrant.
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#trigonometry #sketchangles
#trigonometry #anglesintrigonometry

Views: 51284
Brian McLogan

This video provides examples of determine which quadrant the terminal side of an angle lies based upon whether trig functions are positive or negative.
Complete Video List at http://www.mathispower4u.yolasite.com or search them at http://www.mathispower4u.wordpress.com

Views: 42523
Mathispower4u

This trigonometry video tutorial explains how to evaluate trigonometric functions given a point on the terminal side. It discusses how to evaluate trigonometric functions at any angle using SOHCAHTOA and how to determine the sign of sine, cosine, and tangent in any quadrant. It mentions how to find the value of sine, cosine, tangent, secant, cosecant, and cotangent using right triangle trigonometry.
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Views: 16853
The Organic Chemistry Tutor

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Finding the Quadrant in Which an Angle Lies - Example 1. In this video, I consider a few different angle (measured in degrees) and find the quadrant which they would belong to.

Views: 128806
patrickJMT

Learn how to sketch angles in terms of pi. An angle is the figure formed by two rays sharing the same endpoint. Angle is measured in radians or in degrees. One complete revolution about a point is equivalent to 2pi radians and 360 degrees. Angle measured in the anti-clockwise direction is called a positive angle while a negative angle is measured in the clockwise direction. We measure angles starting from the positive x-axis.
To sketch an angle in terms of pi, we make use of the knowledge that the angle made by a circle is 2pi and that made by a straight line is pi. So, we first sketch a circle which we will divide into two. Next we divide each half of the circle into the number of parts corresponding to the denominator of the angle we want to sketch. The number of parts corresponding to the numerator of the angle we are sketching from the 0 radians point is the angle we are looking for.
#trigonometry #sketchangles
#trigonometry #anglesintrigonometry

Views: 11386
Brian McLogan

How to figure out which quadrant an angle lies in when given two conditions such as sin is less than 0 and cos is greater than 0.

Views: 33244
Mr. Dan Muscarella

How to determine the quadrant in which an angle measured in radians will terminate.This video is provided by the Learning Assistance Center of Howard Community College. For more math videos and exercises, go to HCCMathHelp.com.

Views: 24090
HCCMathHelp

Learn how to evaluate the six trigonometric functions given some constraints. When given the value of one trigonometric function, we can use a right triangle with one of its legs on the x-axis and the other leg, perpendicular to the x-axis is drawn such that the reference angle is at the origin. The x-coordinate of the given point represents the adjacent of the reference angle while the y-coordinate represent the opposite of the reference angle. The hypothenuse is the line joining from the origin to the terminal side of the 'opposite' line.
Using the Pythagoras theorem, we can obtain any of the unknown sides of the right triangle. Having the opposite, the adjacent and the hypothenuse of the reference angle of the right triangle, we can then evaluate the other trigonometric functions accordingly within the given constraint.
#trigonometry #evaluatetrigonometricfunctions

Views: 2958
Brian McLogan

Learn how to determine the quadrant of an angle given in degrees. Recall that the circumference of a circle is equivalent to 360 degrees. Also recall that each quadrant is equivalent to 90 degrees. To determine the quadrant of the angle given in degrees, we determine the number of 90 degrees in the given angle. The quadrant where the remainder of the given angle that is not up to the next multiple of 90 lies corresponds to the quadrant of the given angle.
For angles greater than 360 degrees, we first make the number of 360 degree turns in the given triangle before determining the number of 90 degrees in the remainder that is not up to the next multiple of 360 degrees.
Note that the direction is in an anti-clockwise direction for positive angles and in the clockwise direction for negative angles from the positive x-axis.
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#trigonometry #sketchangles
#trigonometry #anglesintrigonometry

Views: 512
Brian McLogan

Learn how to determine the quadrant given the constraint. The plane is divided into four equal parts called the quadrants with the region between the positive x-axis and the positive y-axis called the 1st quadrant having angles 0 to 90 degrees, the region between the negative x-axis and the positive y-axis called the 2nd quadrant having angles 90 to 180 degrees, the region between the negative x-axis and the negative y-axis called the 3rd quadrant having angles 180 to 270 degrees and the region between the positive x-axis and the negative y-axis called the 4th quadrant having angles 270 to 360 degrees.
The value of the six trigonometric functions is either positive or nedgative depending on the trigonometric function and the quadrant in which the angle lies. While all the six trigonometric functions are positive in the 1st quadrant, only sine and cosecant are positive in the 2nd quadrant, tangent and cotangent are positive in the 3rd quadrant and cosine and secant are positive in the 4th quadrant. Thus, given the constraints on the value(s) of the trigonometric functions, we can find the quadrant of the angle accordingly.
#trigonometry #evaluatetrigonometricfunctions

Views: 2746
Brian McLogan

The Video has been cut. Apply the learning and find the quadrant of the last one yourself.
Thanks

Views: 885
Anil Kumar

Determine which quadrant the terminal side of 387 degrees lies
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Views: 70
Cameron Math

This video shows you how to determine the quadrant in which an angle lies. The angle is provided in both degrees and radians using large positive angles and large negative angles as well.

Views: 14472
Math & Science 2024

This trigonometry video tutorial explains how to find a positive and a negative coterminal angle given another angle in degrees or in radians using the unit circle. It also shows you how to convert radians to degrees and degrees to radians. This video contains plenty of examples and practice problems.
Trigonometry Course:
https://www.udemy.com/trigonometry-the-unit-circle-angles-right-triangles/learn/v4/content

Views: 175255
The Organic Chemistry Tutor

How to find the sin, cos, tan, etc when you're given a point on the terminal side of the angle. This video is provided by the Learning Assistance Center of Howard Community College. For more math videos and exercises, go to HCCMathHelp.com.

Views: 72401
HCCMathHelp

Where trig functions are positive and negative

Views: 1024
Brendon Ferullo

This trigonometry video tutorial explains how to find the reference angle of any angle in any quadrant. It shows you how to find the reference angle in degrees and in radians. It also shows you how to convert from degrees to radians and radians to degrees. In addition, it shows you how to evaluate trig functions using reference angles if given an angle that is commonly found in the unit circle. This video contains plenty of examples and practice problems.

Views: 71365
The Organic Chemistry Tutor

Learn how to determine the quadrant of an angle given in radians. Recall that 1 radian is the distance on the circumference of the circle that is equivalent to the radius of the circle. Also recall that the circumference of a circle is equivalent to 2pi radians.
To determine the quadrant of the angle in radians written in terms of pi, we divide the top half and the bottom half of circumference of the circle into the number of parts corresponding to the denominator of the radian angle. Then we count from the positive x-axis in an anti-clockwise direction for positive angles and in the clockwise direction for negative angles the number of parts corresponding to the coefficient of pi in the numerator.
The quadrant where the number of parts corresponds to the coefficient of the pi in the numerator of radian angle is the required quadrant.
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Follow me on
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#trigonometry #sketchangles
#trigonometry #anglesintrigonometry

Views: 23030
Brian McLogan

How to determine the quadrant in which a positive or negative angle measured in degrees will terminate. This video is provided by the Learning Assistance Center of Howard Community College. For more math videos and exercises, go to HCCMathHelp.com.

Views: 11153
HCCMathHelp

Learn how to sketch angles in terms of pi. An angle is the figure formed by two rays sharing the same endpoint. Angle is measured in radians or in degrees. One complete revolution about a point is equivalent to 2pi radians and 360 degrees. Angle measured in the anti-clockwise direction is called a positive angle while a negative angle is measured in the clockwise direction. We measure angles starting from the positive x-axis.
To sketch an angle in terms of pi, we make use of the knowledge that the angle made by a circle is 2pi and that made by a straight line is pi. So, we first sketch a circle which we will divide into two. Next we divide each half of the circle into the number of parts corresponding to the denominator of the angle we want to sketch. The number of parts corresponding to the numerator of the angle we are sketching from the 0 radians point is the angle we are looking for.
#trigonometry #sketchangles
#trigonometry #anglesintrigonometry

Views: 1828
Brian McLogan

Learn about angles in trigonometry. An angle is the figure formed by two rays sharing the same endpoint. The two rays are called the sides of the angle while the common endpoint of the two rays is called the vertex of the angle.
Angle is measured in radians or in degrees. The radian is the measure of the length of an arc of a unit circle or the measure of the radius of the circle on the circumference of the circle. pi radians is equivalent to 180 degrees. One complete revolution about a point is equivalent to 2pi radians and 360 degrees. A plane is usually divided into 4 equal parts called the quadrants.
Angle measured in the anti-clockwise direction is called a positive angle while a negative angle is measured in the clockwise direction. We measure angles starting from the positive x-axis.
#trigonometry #sketchangles
#trigonometry #anglesintrigonometry

Views: 3782
Brian McLogan

Several examples

Views: 20846
Carole Del Vecchio

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Finding the Quadrant in Which an Angle Lies - Example 3. In this video, I consider a few different angle (measured in degrees) and find the quadrant which they would belong to.

Views: 21118
patrickJMT

Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) https://www.patreon.com/patrickjmt !! Finding the Quadrant in Which an Angle Lies - Example 2. In this video, I consider a few different angle (measured in degrees) and find the quadrant which they would belong to.

Views: 24568
patrickJMT

Learn how to evaluate the six trigonometric functions on a given quadrant. The x-y plane is divided into 4 regions called quadrants. For each quadrant, there are some trigonometric functions that are positive while others are negative.
When given the value of one trigonometric function, we can use a right triangle with one of its legs on the x-axis and the other leg, perpendicular to the x-axis is drawn such that the reference angle is at the origin. The x-coordinate of the given point represents the adjacent of the reference angle while the y-coordinate represent the opposite of the reference angle.
Using the Pythagoras theorem, we can obtain the hyponenuse of the right triangle. Having the opposite, the adjacent and the hypothenuse of the reference angle of the right triangle, we can then evaluate the other trigonometric functions accordingly.
#trigonometry #evaluatetrigonometricfunctions

Views: 73281
Brian McLogan

Views: 14066
MrCaslinMath

This video provides an example of how to determine trig function values from a point on the terminal side of the angle in standard position.
Complete Video List at http://www.mathispower4u.yolasite.com or search them at http://www.mathispower4u.wordpress.com

Views: 22044
Mathispower4u

Learn how to determine the quadrant of an angle given in radians. Recall that 1 radian is the distance on the circumference of the circle that is equivalent to the radius of the circle. Also recall that the circumference of a circle is equivalent to 2pi radians.
To determine the quadrant of the angle in radians written in terms of pi, we divide the top half and the bottom half of circumference of the circle into the number of parts corresponding to the denominator of the radian angle. Then we count from the positive x-axis in an anti-clockwise direction for positive angles and in the clockwise direction for negative angles the number of parts corresponding to the coefficient of pi in the numerator.
The quadrant where the number of parts corresponds to the coefficient of the pi in the numerator of radian angle is the required quadrant.
Subscribe: https://www.youtube.com/user/mrbrianmclogan?sub_confirmation=1
Website: http://www.freemathvideos.com
Learn from Udemy: https://www.udemy.com/user/brianmclogan2/
Follow me on
Facebook: https://www.facebook.com/freemathvideos/
Twitter https://twitter.com/mrbrianmclogan
#trigonometry #sketchangles
#trigonometry #anglesintrigonometry

Views: 2112
Brian McLogan

Learn the basics of co-terminal angles. An angle is a figure formed by two rays which have a common endpoint. The two rays are called the sides of the angle while the common endpoint is called the vertex of the angle. We measure angles starting from the positive x-axis, i.e. the initial side of an angle measure is usually the positive x-axis. Angle measured in the anti-clockwise direction is called a positive angle while a negative angle is measured in the clockwise direction.
Two or more angles are said to be co-terminal when they have the same initial and terminal sides. Coterminal angles are found by adding/subtracting 360 degrees (for degree angle measure) or 2pi (for radian angle measure) to/from the given angle.
#trigonometry #anglesintrigonometry

Views: 50087
Brian McLogan

Name the quadrant in which the angle lies.

Views: 12267
ProfessorMcComb

Given a point on the terminal side of an angle in standard position, find the value of all six trigonometric functions.

Views: 22436
aggieneer02

Views: 7898
Brian McLogan

How to find all six trigonometric function values given one value and the quadrant.This video is provided by the Learning Assistance Center of Howard Community College. For more math videos and exercises, go to HCCMathHelp.com.

Views: 33194
HCCMathHelp

In this video I review how to find the values of trig functions of angles, given points on their terminal sides. I then launch into how to EASILY determine whether or not the value of the trig function will be positive or negative, simply by know what quadrant the angle terminates in.

Views: 1451
mattemath

This trigonometry video tutorial provides a basic introduction into angle measure. It explains the process of drawing angles in standard position in degrees. It discusses the difference between the initial side of an angle and its terminal side. In addition, it mentions the difference between an acute angle, right angle, obtuse angle, and a straight angle. This video contains plenty of examples and practice problems including drawing positive and negative angles in standard position.

Views: 18961
The Organic Chemistry Tutor

Views: 6751
Carolee Pederson

Views: 952
Brian McLogan

Learn how to find trig values (sin, cos, tan, etc.) when given a point on the terminal side of an angle

Views: 875
TucsonMathDoc

Views: 1711
Brian McLogan

Learn how to sketch angles in radians. An angle is the figure formed by two rays sharing the same endpoint. Angle is measured in radians or in degrees. One complete revolution about a point is equivalent to 2pi radians and 360 degrees. Angle measured in the anti-clockwise direction is called a positive angle while a negative angle is measured in the clockwise direction. We measure angles starting from the positive x-axis.
To sketch an angle in radians, we make use of the knowledge that the angle made by a circle is 2pi and that made by a straight line is pi. We also make use of the knowledge that pi is approximately 3.142. So, we first sketch a circle which we will divide into two. Next we divide the circle in such a way that the third division is just abov the halfway point of the circle. and the 6th division is just before one revolution about the center of the circle. The number of parts corresponding to the angle we are sketching from the 0 radians point is the angle we are looking for.
#trigonometry #sketchangles
#trigonometry #anglesintrigonometry

Views: 722
Brian McLogan

Calculating Trig Function Values When Given a Point on the Terminal Side of an Angle

Views: 834
MrStanislow