Question

5.)
A.) 1/ csc 36°
B.) csc 36°
C.) 1/ tan 36°
D.) cos 36°
E.) tan 36°

Answer 1

B.)
`csc \ 36\°`

Explanation:

Given:

`(1)/(sin\ 36\°)`

We need to rewrite the given expression as single trigonometric function.

Now According to reciprocal Identities given:

`sin\theta =(1)/(csc\theta)`

Also Given;

`csc\theta = (1)/(sin\theta)`

Sow when
`sin\ 36\°= (1)/(csc\ 36\°)`

and when
`(1)/(sin\ 36\°)= csc\ 36\°`

Hence the Single trigonometric function is
`(1)/(sin36\°)= csc\ 36\°`.