Find a cofunction with the same value as the given expressio

Find a cofunction with the same value as the given expression. Give the answer in terms of pi. Simplify your answer.

cos(pi/3)

Solution

solution

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So we know that cos(pi/2-x) = sin(x)

in this case pi/3 = pi/2 - x
pi/3 - pi/2 = -x
2pi/6 - 3pi/6 = -x
-pi/6 = -x
pi/6 = x

Therefore, cos(pi/3) = sin(pi/6)