Find the Exact Value sin(600)

Problem

sin(600)

Solution

1. Find the coterminal angle by subtracting 360 from 600 to bring the angle within the standard 0 to 360 range.

600−360=240

2. Determine the quadrant of the angle 240 Since 180<240<270 the angle lies in Quadrant III.

3. Calculate the reference angle for an angle in Quadrant III by subtracting 180 from the angle.

(θ_ref)=240−180=60

4. Determine the sign of the sine function in Quadrant III. Since the ycoordinate is negative in Quadrant III, sin(240) is negative.

sin(240)=−sin(60)

5. Substitute the known value for sin(60) which is √(,3)/2

sin(240)=−√(,3)/2

Final Answer

sin(600)=−√(,3)/2

Want more problems? Check here!