Simplify sin(-60)

Problem

sin(−60^∘)

Solution

1. Apply the odd function identity for the sine function, which states that sin(−θ)=−sin(θ)

sin(−60^∘)=−sin(60^∘)

2. Identify the exact value of sin(60^∘) using the unit circle or a standard 30^∘−60^∘−90^∘ reference triangle.

sin(60^∘)=√(,3)/2

3. Substitute the value back into the expression to find the final result.

−sin(60^∘)=−√(,3)/2

Final Answer

sin(−60^∘)=−√(,3)/2

Want more problems? Check here!