Respuesta :

Answer:

B.) [tex]csc \ 36\°[/tex]

Step-by-step explanation:

Given:

[tex]\frac{1}{sin\ 36\°}[/tex]

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

Now According to reciprocal Identities given:

[tex]sin\theta =\frac{1}{csc\theta}[/tex]

Also Given;

[tex]csc\theta = \frac{1}{sin\theta}[/tex]

Sow when [tex]sin\ 36\°= \frac{1}{csc\ 36\°}[/tex]

and when [tex]\frac{1}{sin\ 36\°}= csc\ 36\°[/tex]

Hence the Single trigonometric function is  [tex]\frac{1}{sin36\°}= csc\ 36\°[/tex].