Question

Find the exact value of cosec $\theta$ trigonometric functions for the angle formed when the terminal side passes through $(3,4).$

• A. $\frac{4}{5}$
• B. $\frac{3}{5}$
• C. $\frac{5}{3}$
• D. $\frac{5}{4}$

Answer 1

Answer: (C)

$\frac{5}{3}$

By using Pythagoras theorem, we will find the value of hypotenuse.
$3^2+4^2=c^2$
$9+16=c^2$
$c=5$
So, $\csc \theta$ = $\frac{hypotenuse}{oppositeside}$

$\csc \theta$ = $\frac{5}{3}$

So, option C is correct.