sec(2/pi-x)=cscx

Question

sec(2/pi-x)=cscx

solomonzelman · Answer

this is not an identity.

solomonzelman · Answer

And you sure you mean 2/pi, and not the other way, ---   pi/2 ?

anonymous · Answer

that's what it says on my homework

anonymous · Answer

I'm supposed to use a difference formula and algebra

solomonzelman · Answer

$\large\color{black}{\sec(\frac{2}{\pi}-x)=\csc x }$ it is this?

anonymous · Answer

no my problem says pi divided by two

solomonzelman · Answer

$\Large\color{black}{\sec(\frac{\pi}{2}-x)=\csc x }$

anonymous · Answer

yes

solomonzelman · Answer

$\Large\color{black}{\sec(\frac{\pi}{2}-x)=\csc x }$
is an identity.

anonymous · Answer

firstly I would like to thank you for your time. but I am confused on what to do with the problem

solomonzelman · Answer

what's wrong with this site, connection snapps all day.

solomonzelman · Answer

$\Large\color{black}{\sec(\frac{\pi}{2}-x)=\csc x }$


$\LARGE\color{black}{\frac{1}{\cos(\frac{\pi}{2}-x)}=\frac{1}{\sin x} }$


$\LARGE\color{black}{\cos(\frac{\pi}{2}-x)=\sin x}$

solomonzelman · Answer

then use a formula,      $\large\color{black}{\cos(a-b) =\cos(a)\cos(b)+\sin(a)\sin(b)}$

solomonzelman · Answer

if you have any questions, let me know. And this is not a problem, I am here to attempt to help people out.

anonymous · Answer

okay thank you