Question

The expression (cos x sec^2x) is equal to ?

1) 1/sin(x)
2) 1/csc(x)
3) 1/sec(x)
4) 1/cos(x)

Answer 1

The expression (cos x sec^2x) is equal to 1/cos(x).

Step-by-step explanation:

The expression (cos x sec^2x) is equal to 1/cos(x).

To simplify the expression, we can use the trigonometric identity:

sec^2(x) = 1/cos^2(x)

Substituting this into the expression, we have:

(cos x)(1/cos^2(x))

Simplifying further, we get:

1/cos(x)

So, the expression is equal to 1/cos(x).