Find the Exact Value sin(-300 degrees )

Problem

sin(−300)

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(−300)=sin(−300+360)

sin(−300)=sin(60)

2. Identify the reference angle and the quadrant. Since 60 is in the first quadrant, the sine value is positive and the reference angle is 60

Quadrant: I

Reference Angle=60

3. Evaluate the sine of the reference angle using the unit circle or special right triangles.

sin(60)=√(,3)/2

Final Answer

sin(−300)=√(,3)/2

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