Question

Please explain your answer as well. THX!!

Answer 1

Answer:

1

Step-by-step explanation:

sec(x)*cos(x) + cos(x)-1/(sec(x))

We know that sex(x) = 1/(cos(x))

substitute it in our expression.

1/(cos(x)) * cos(x) + cos(x) - 1/(1/cos(x)) = 1+cos(x) - cos (x)= 1

Answer 2

ANSWER

A. 1

EXPLANATION

The given trigonometric expression is

$\sec(x) \cos(x) + \cos(x) - \frac{1}{ \sec(x) }$

Recall and use the following reciprocal identities.

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

and

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

When we apply these identities, we get

$\frac{1}{ \cos(x) } \times \cos(x) + \cos(x) - \cos(x)$

This simplifies to:

$1 + 0 = 1$

The correct choice is A