Question

Use the appropriate reciprocal identity to find the exact value of sin for the given value of csc . Rationalize denominators when applicable. csc 27/5 sin

Answer 1

Answer:

$\sin(\theta) = \frac{5}{27}$

Step-by-step explanation:

Given

$\csc(\theta) = \frac{27}{5}$

Required

Determine $\sin(\theta)$

In trigonometry identity;

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

So, we have:

$\sin(\theta) = \frac{1}{\frac{27}{5}}$

Take inverse of the fraction

$\sin(\theta) = \frac{5}{27}$