Question

Simplify: sec x – sec x (sin x)2

Answer 1

Answer:

Sec (x) - 2 tan (x)

Step-by-step explanation:

Answer 2

Answer:

Cos x

Step-by-step explanation:

HINT:

1 -   Sin² x = Cos² x

Sec x = $\frac{1}{Cos x}$

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

                                  = Sec x * Cos²x

                                  = $\frac{1}{Cos x}*Cos^{2} x$

                                  = Cos x