Question

SOMEONE PLEASE HELP ME!!!
What are the x-intercepts of the graph of the function y=6tan(x/2)-3?

Answer 1

Step-by-step explanation:

$y = 6 \tan( \frac{x}{2} ) - 3$

Set y=0

$0 = 6 \tan( \frac{x}{2} ) - 3$

$3 = 6 \tan( \frac{x}{2} )$

$\frac{1}{2} = \tan( \frac{x}{2} )$

$\tan {}^{ - 1} ( \frac{1}{2} ) + \pi = \frac{x}{2}$

Multiply both sides by 2

$2 \tan {}^{ - 1} ( \frac{1}{2} ) + 2\pi = x$

So the x intercepts of the function is

$2 \tan {}^{ - 1} ( \frac{1}{2} ) + 2\pi$n