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

Want more problems? Check here!