Question

How do you simplify `sec^2x (1-sin^2x)`?

Answer 1

1

Explanation:

From trig identities, `sin^2x+cos^2x=1`
`therefore 1-sin^2x=cos^2x`

`therefore sec^2x(1-sin^2x)=sec^2x*cos^2x`
`=1/(cos^2x)*cos^2x`
`=1`