Question

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

Answer 1

Answer:

B.) $csc \ 36\°$

Step-by-step explanation:

Given:

$\frac{1}{sin\ 36\°}$

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

Now According to reciprocal Identities given:

$sin\theta =\frac{1}{csc\theta}$

Also Given;

$csc\theta = \frac{1}{sin\theta}$

Sow when $sin\ 36\°= \frac{1}{csc\ 36\°}$

and when $\frac{1}{sin\ 36\°}= csc\ 36\°$

Hence the Single trigonometric function is  $\frac{1}{sin36\°}= csc\ 36\°$.