Question

What basic trigonometric identity would you use to verify that sinx + 1/ sinx = 1+ cscx

Answer 1

Answer: cscx=1/sinx

Explanation:

took the test

Answer 2

C) We use csc =
`(1)/(sinx)` to verify.

Explanation:

Given :
`(sinx+ 1)/(sinx)` = 1 +csc x.

To find : What basic trigonometric identity would you use to verify.

Solution : We have given that
`(sinx+ 1)/(sinx)` = 1 +csc x.

To verify we need to show left hand side equal to right hand side.

For right hand side

1 +csc x

By csc =
`(1)/(sinx)`.

Plug the value csc =
`(1)/(sinx)`.

1 +
`(1)/(sinx)`.

Taking least common multiple

`(sinx +1)/(sinx)` = left hand side.

We can see this is equal to left hand side

Hence , left hand side = right hand side.

Therefore, C) We use csc =
`(1)/(sinx)` to verify.