# Math Help - sinusoidal functions

1. ## sinusoidal functions

For the graphs of y=cscx and y=cos[x-(pi/2)]. For which values of x in the interval [0, 2pi] will the graphs intersect? Help please, Thanks.

2. Originally Posted by Hellooo
For the graphs of y=cscx and y=cos[x-(pi/2)]. For which values of x in the interval [0, 2pi] will the graphs intersect? Help please, Thanks.
Find where $\csc x = \cos\left(x-\frac{\pi}{2}\right)$

Using some identities we have

$\csc x = \cos\left(x-\frac{\pi}{2}\right)$

$\frac{1}{\sin x} = \sin x$

$1 = \sin^2 x$

Can you finish it from here?