Question

If `5 sin theta = 3  "then", (sec theta + tan theta)/(sec theta - tan theta)` is equal to ____________.

Options

• 4

• `1/4`

• 2

• None of these

Answer 1

If `5 sin theta = 3  "then", (sec theta + tan theta)/(sec theta - tan theta)` is equal to 4.

Explanation:

`= (sec theta + tan theta)/(sec theta - tan theta)`

`= (1/cos theta + sin theta/cos theta)/(1/cos theta - sin theta/cos theta)`

`= (1 + sin theta)/(1 - sin theta)`

`= (1 + 3/5)/(1 - 3/5)`

`= 4`