Question

Select the correct answer from the drop-down menu.

tant = . Therefore, tan(90-A) =
(All angle measurements are in degrees.

Answer 1

D.

1/tan A

Explanation:

Answer 2

D.

Explanation:

The choices to this question are

a.) 1/tan(90-A)

b.) 1/sin A

c.) 1/cos(90-A)

d.) 1/tan A

We know that

`tanx=(sinx)/(cosx)`, which is a trigonometric identity.

If
`tan(90-A)` then,

`tan(90-A)=(sin(90-A))/(cos(90-A))`

But,
`sin (90-A)=cosA` and
`cos(90-A)=sinA`

So,

`tan(90-A)=(cosA)/(sinA)`

Which is the inverse of tangent, so

`tan(90-A)=(1)/(tanA)`

Therefore, the right answer is D.