Trigonometric Equation Simplification Strategies

[parise19]

Homework Statement

(sec^2 x - 1)/(sin^2 x)

Homework Equations

The Attempt at a Solution

i know that the answer is sec^2 x, but i have no idea what steps to take to get there

 

[Mark44]

What trig identities do you know? There are several that would be helpful here.

 

[Дьявол]

Do you know what sec²x equals to?

secx=1/cosx

Can you try to solve it for your own?

I will help you little bit.

$$\frac{\frac{1}{cos^2x} - 1}{sin^2x}=\frac{\frac{1-cos^2x}{cos^2x}}{sin^2x}$$

Do you know what 1-cos² equals to?

Regards.