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

Problem

sin2(θ)+cos2(θ)

Solution

1. Identify the expression as a fundamental trigonometric identity.

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

3. Conclude that the expression simplifies to a constant value.

Final Answer

sin2(θ)+cos2(θ)=1

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