Question

Which expression is equal to sec x° multiplied by cot x°?

hypotenuse ÷ adjacent

adjacent ÷ hypotenuse

opposite ÷ adjacent

hypotenuse ÷ opposite

Answer 1

The answer is D. hypotenuse ÷ opposite

Answer 2

D) hypotenuse ÷ opposite.

Explanation:

Given : sec x° multiplied by cot x°.

To find : Which expression.

Solution : We have given that

sec x° * cot x°.

We know that sec x° =
`(hypotenuse)/(adjacent)`.

cot x° =
`(adjacent)/(opposite)`.

Then

sec x° * cot x° =
`(hypotenuse)/(adjacent)` *
`(adjacent)/(opposite)`.

On simplification

sec x° * cot x° =
`(hypotenuse)/(opposite)`.

Therefore, D) hypotenuse ÷ opposite.