Find the Exact Value 2cos(pi/4)

Problem

2*cos(π/4)

Solution

1. Identify the angle in the unit circle. The angle π/4 radians is equivalent to 45^∘

2. Recall the exact value of the cosine function for this standard angle.

cos(π/4)=√(,2)/2

3. Substitute the exact value back into the original expression.

2*(√(,2)/2)

4. Simplify the expression by canceling the common factor of 2 in the numerator and denominator.

√(,2)

Final Answer

2*cos(π/4)=√(,2)

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