Simplify/Condense cos(pi/2-x)sec(x)

$\cos (\frac{π}{2} - x) \sec (x)$

Rewrite $\sec (x)$ in terms of sines and cosines.

$\cos (\frac{π}{2} - x) \frac{1}{\cos (x)}$

Combine $\cos (\frac{π}{2} - x)$ and $\frac{1}{\cos (x)}$ .

$\frac{\cos (\frac{π}{2} - x)}{\cos (x)}$

Rewrite $\frac{\cos (\frac{π}{2} - x)}{\cos (x)}$ as a product.

$\cos (\frac{π}{2} - x) \frac{1}{\cos (x)}$

Write $\cos (\frac{π}{2} - x)$ as a fraction with denominator $1$ .

$\frac{\cos (\frac{π}{2} - x)}{1} \cdot \frac{1}{\cos (x)}$

Simplify.

Divide $\cos (\frac{π}{2} - x)$ by $1$ .

$\cos (\frac{π}{2} - x) \frac{1}{\cos (x)}$

Convert from $\frac{1}{\cos (x)}$ to $\sec (x)$ .

$\cos (\frac{π}{2} - x) \sec (x)$