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