Find the Exact Value sin(-300)

Problem

sin(−300)

Solution

1. Identify the reference angle by adding 360 to the negative angle to find its coterminal equivalent within the range [0,360]

−300+360=60

2. Determine the quadrant of the angle. Since 60 is between 0 and 90 the angle lies in Quadrant I.

3. Apply the property that the sine function is positive in Quadrant I.

sin(−300)=sin(60)

4. Evaluate the exact value of the sine of 60 using the unit circle or special right triangles.

sin(60)=√(,3)/2

Final Answer

sin(−300)=√(,3)/2

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