Question

Find the value of other five trigonometric functions of $\sec x=\frac{13}{5}$, $x$ lies in fourth quadrant.

Answer 1

Solution :-

Given $secx=\frac{13}{5}$

Now we have to find other five trigonometric functions

Where x lies in fourth quadrant.

$secx=\frac{H}{B}=\frac{13}{5}$

$\therefore sinx=-\frac{12}{13}$

$cosx=\frac{5}{13}$

$tanx=-\frac{12}{5}$

Then perpendicular $=\sqrt{(13{)}^2-(5{)}^2}$

$=\sqrt{169-25}=12$

$cosecx=-\frac{13}{12}$

$\cot x=\frac{13}{5}$