Find the Exact Value sin(-240 degrees )

Problem

sin(−240)

Solution

1. Find the coterminal angle by adding 360 to the negative angle to find its equivalent position within the standard 0 to 360 range.

sin(−240)=sin(−240+360)

sin(−240)=sin(120)

2. Identify the quadrant for 120 Since 90<120<180 the angle lies in Quadrant II, where the sine function is positive.

3. Determine the reference angle by subtracting the angle from 180

(θ_ref)=180−120

(θ_ref)=60

4. Apply the reference angle and the sign from the quadrant to find the exact value.

sin(120)=sin(60)

sin(60)=√(,3)/2

Final Answer

sin(−240)=√(,3)/2

Want more problems? Check here!