Find the Exact Value sin(110)

Problem

sin(110)

Solution

1. Identify the angle and the required operation. The task is to find the exact value of sin(110)

2. Apply the supplementary angle identity, which states sin(θ)=sin(180−θ)

3. Substitute 110 into the identity to find the equivalent reference angle.

sin(110)=sin(180−110)

4. Simplify the expression to find the sine of the resulting angle.

sin(110)=sin(70)

5. Determine if a simpler exact value exists. Since 70 is not a standard unit circle angle (like 30 45 or 60, the exact value is expressed in terms of the sine function.

Final Answer

sin(110)=sin(70)

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