Find the Exact Value sin(pi/4)^2

Problem

sin(π/4)

Solution

1. Identify the standard trigonometric value for the sine of π/4 radians.

sin(π/4)=√(,2)/2

2. Substitute this value into the expression to be squared.

(√(,2)/2)2

3. Apply the power to both the numerator and the denominator.

((√(,2))2)/2

4. Simplify the resulting fraction.

2/4

5. Reduce the fraction to its simplest form.

1/2

Final Answer

sin(π/4)=1/2

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