Simplify sin(pi/4)^2+cos(pi/4)^2

Problem

sin(π/4)+cos(π/4)

Solution

1. Identify the trigonometric identity applicable to the expression. The Pythagorean identity states that for any angle θ sin(θ)+cos(θ)=1

2. Substitute the specific angle θ=π/4 into the identity.

3. Evaluate the expression based on the identity, noting that the value of the sum is independent of the specific angle provided.

Final Answer

sin(π/4)+cos(π/4)=1

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