Find the Complement cos(15)

Problem

cos(15)

Solution

1. Identify the concept of complementary angles, which states that for any angle θ the complement is found using the identity cos(θ)=sin(90−θ)

2. Substitute the given angle θ=15 into the identity.

3. Subtract the values to find the resulting angle: 90−15=75

4. State the equivalent trigonometric expression.

Final Answer

cos(15)=sin(75)

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