Question

sec(pi/2 -x) =csc x true or false

Answer 1

Answer:

true

Step-by-step explanation:

if you rewrite $sec\left(\frac{\pi }{2}\:-x\right)$ with trigonometric identities:

$sec\left(\frac{\pi }{2}\:-x\right)$    $=\frac{1}{\sin \left(x\right)}$

$\frac{1}{\sin \left(x\right)}$  $=\csc \left(x\right)$

so, yes,  $sec\left(\frac{\pi }{2}\:-x\right)$  $=\csc \left(x\right)$

hope this helps!!