Find the Exact Value sin(-330 degrees )

Problem

sin(−330)

Solution

1. Find the coterminal angle by adding 360 to the given negative angle to find an equivalent angle between 0 and 360

−330+360=30

2. Apply the property of trigonometric functions where sin(θ+360⋅n)=sin(θ)

sin(−330)=sin(30)

3. Determine the exact value using the unit circle or special right triangles for a 30 angle.

sin(30)=1/2

Final Answer

sin(−330)=1/2

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