Question

Simplify:
sec x – sec x
(sin x)2

Answer 1

Sec (x) - 2 tan (x)

Explanation:

Answer 2

Cos x

Explanation:

HINT:

1 - Sin² x = Cos² x

Sec x =
`(1)/(Cos x)`

Sec x - Sec x*(Sin x)² = Sec x (1 - Sin² x)

= Sec x * Cos²x

=
`(1)/(Cos x)*Cos^(2) x`

= Cos x