What is cos(pi/2-x)sec(x) ?

The solution to cos(pi/2-x)sec(x) is tan(x)

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simplify cos(pi/2-x)sec(x)

simplify

cos (\frac{π}{2} - x) sec (x)

tan (x)

Solution steps

cos (\frac{π}{2} - x) sec (x)

Rewrite using trig identities

= sin (x) sec (x)

Express with sin, cos

= \frac{sin ( x )}{cos ( x )}

Rewrite using trig identities

= tan (x)

1 + tan^{2} (t)

\frac{e ^{x}}{cos ( x )}

sin (- x) - sin (x)

tan^{2} (- x)

sin (θ) + cos (\frac{π}{2} - θ)