Q. What is the value of sin(65π)?Choose 1 answer:(A) −23(B) −22(C) 21(D) 150
Identify angle and sine value: Identify the angle in the unit circle and its corresponding sine value.The angle (5π)/6 is in the second quadrant where sine values are positive.
Recall sine values for common angles: Recall the sine values for common angles in the unit circle.The sine of 6π is 21, and since 65π is a reference angle to 6π in the second quadrant, its sine value will be the same but positive.
Determine exact value of sin(65π): Determine the exact value of sin(65π).sin(65π)=21