Question

Simplify the expression. (cos x)(sec x) - (sin^2 x) cos x cos2x sec2x

Answer 1

Answer:

$\cos^2x$

Step-by-step explanation:

The given expression is:

$(\cos x)(\sec x)-\sin^2 x$

Recall form Pythagorean Identity that;

$\sec x=\frac{1}{\cos x}$

We apply this property to obtain;

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

We simplify to get;

$1-\sin^2 x$

Recall from the Pythagorean identity that;

$1-\sin^2 x=\cos^2x$

Answer 2

The answer should be cos2x