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Sagot :
ANSWER
Csc 0 is Hypotenuse / opposite
Option B
EXPLANATION
Given information
[tex]\text{ Sin 0 = }\frac{opposite}{Hypotenuse}[/tex]To find the reciprocal of sin 0, follow the steps below
Step 1: Apply the SOH CAH TOA principle
[tex]\begin{gathered} \text{ sin 0 = }\frac{opposite}{hypotenuse} \\ \\ \text{ Cos 0 = }\frac{adjacent}{Hypotenuse} \\ \\ \text{ Tan 0 = }\frac{opposite}{adjacent} \end{gathered}[/tex]Step 2: Find the reciprocal of Sin 0?
[tex]\begin{gathered} \text{ Reciprocal of Sin 0 = Cosec 0 = }\frac{1}{si\text{n 0}} \\ Recall,\text{ that Sin 0 = }\frac{opposite\text{ }}{Hypotenuse} \\ So,\text{ }\frac{1}{sin\text{ 0 }}\text{ = 1 }\div\text{ }\frac{opposite}{Hypotenuse} \\ \\ \frac{1}{sin\text{ 0}}\text{ = Cosec 0 = 1 }\times\text{ }\frac{opposite}{hypotenuse} \\ \text{ Cosec 0 = }\frac{1\text{ }\times\text{ hypotenuse}}{opposite} \\ \text{ Cosec 0 = }\frac{Hypotenuse}{opposite} \end{gathered}[/tex]Hence, Csc 0 is Hypotenuse / opposite
Option B
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