Question

Please explain your answer as well. THX!!

Answer 1

1

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

A. 1

EXPLANATION

The given trigonometric expression is

`\sec(x) \cos(x) + \cos(x) - (1)/( \sec(x) )`

Recall and use the following reciprocal identities.

`(1)/( \sec(x) ) = \cos(x)`

and

`\sec(x) = (1)/( \cos(x) )`

When we apply these identities, we get

`(1)/( \cos(x) ) * \cos(x) + \cos(x) - \cos(x)`

This simplifies to:

`1 + 0 = 1`

The correct choice is A