Question

$\text{If the value of}sin\theta =\frac{12}{13},$
$\text{then what is the value of}cosec\theta ?$

• A. $\frac{5}{13}$
• B. $\frac{5}{12}$
• C. $\frac{12}{13}$
• D. $\frac{13}{12}$

Answer 1

The correct option is D

$\frac{13}{12}$

$sin\theta andcosec\theta \text{are reciprocals of each other.}$
So,
$cosec\theta =\frac{1}{sin\theta }⟹cosec\theta =\frac{1}{\frac{12}{13}}$
$⟹cosec\theta =\frac{13}{12}$