Find the Complement sin(77)

Problem

sin(77)

Solution

1. Identify the cofunction identity for sine, which states that the sine of an angle is equal to the cosine of its complement.

sin(θ)=cos(90−θ)

2. Substitute the given angle θ=77 into the identity.

sin(77)=cos(90−77)

3. Subtract the values to find the measure of the complementary angle.

90−77=13

4. State the resulting trigonometric expression.

sin(77)=cos(13)

Final Answer

sin(77)=cos(13)

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