Simplify sin(theta)^2+cos(theta)^2

Problem

sin2(θ)+cos2(θ)

Solution

1. Identify the expression as a fundamental trigonometric expression involving the squares of the sine and cosine functions of the same angle θ

2. Apply the Pythagorean identity, which states that for any angle θ the sum of the square of the sine and the square of the cosine is always equal to 1.

Final Answer

sin2(θ)+cos2(θ)=1

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