Question

How do you verify sec^2 x tan^2 x + sec^2 x = sec^4 x? Thank you!

Answer 1

See below

Explanation:

Using the identity:
`1+tan^2theta= sec^2theta`

Start:
`sec^2 x tan^2 x + sec^2 x = sec^4 x`

`sec^2x(tan^2x+1)= sec^4x`

`sec^2x(1+tan^2x)= sec^4x`

`sec^2x(sec^2x)= sec^4x`

`sec^4x= sec^4x`