sketch a unit circle and label the terminal points from brainly.com
The resulting angle of 2 π. Make the expression negative because sine is negative in the third quadrant. How to find the reference angle for an angle in radians:
Find The Reference Angle (20Pi)/3.
To write as a fraction with a common denominator, multiply by. Since π3 is in the first quadrant, the reference 4pi/3 has a reference angle of pi/3 since it's that far from pi.
This Question Can Be Solved Using The Unit Circle.
Please subscribe here, thank you!!! Haruto is correct because the angle is coterminal with pi/4 which is also the reference angle. On the unit circle, sin( 4π 3) = −sin( π 3) = − √3 2.
Make The Expression Negative Because Sine Is Negative In The Third Quadrant.
Combine the numerators over the common denominator. Example with 4pi/3if you enjoyed this video please consider liking, sharing, and subscribing.udemy c. The equivalent angle in degrees is pi/3 * 180/pi = 180/3 = 60 degrees, same as we got before when working in degrees.
The Resulting Angle Of 2 Π.
Cos( 4π 3) = −cos( π 3) = − 1 2. The angle is in radians. Convert from radians to degrees (4pi)/3 4π 3 4 π 3 to convert radians to degrees, multiply by 180 π 180 π, since a full circle is 360° 360 ° or 2π 2 π r