Simplify sin(pi/4)+sin(pi/4)

Problem

sin(π/4)+sin(π/4)

Solution

1. Identify the value of the trigonometric function for the given angle.

sin(π/4)=√(,2)/2

2. Substitute the value back into the original expression.

√(,2)/2+√(,2)/2

3. Combine the terms by adding the numerators over the common denominator.

(2√(,2))/2

4. Simplify the fraction by canceling the common factor of 2.

√(,2)

Final Answer

sin(π/4)+sin(π/4)=√(,2)

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