What is the integral of cos(x-pi/2) ?

The integral of cos(x-pi/2) is -cos(x)+C

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integral of cos(x-pi/2)

\int cos (x - \frac{π}{2}) d x

- cos (x) + C

Solution steps

\int cos (x - \frac{π}{2}) d x

Rewrite using trig identities

= \int sin (x) d x

Use the common integral:

\int sin (x) d x = - cos (x)

= - cos (x)

Add a constant to the solution

= - cos (x) + C

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