what are the x - intercepts of the graph of the function (y = 6\tan(\frac{x}{2})-3)? use your graphing…
what are the x - intercepts of the graph of the function (y = 6\tan(\frac{x}{2})-3)? use your graphing calculator to estimate the answer.\n(0.9273 + (npi),0), where n is any integer\n(0.9653 + (npi),0), where n is any integer\n(0.9273 + (2npi),0), where n is any integer\n(0.9653 + (2npi),0), where n is any integer
Answer
Explanation:
Step1: Set y = 0
$0 = 6\tan(\frac{x}{2})-3$
Step2: Solve for $\tan(\frac{x}{2})$
$\tan(\frac{x}{2})=\frac{3}{6}=\frac{1}{2}$
Step3: Find x - intercepts
$\frac{x}{2}=\arctan(\frac{1}{2})+n\pi$, $x = 2\arctan(\frac{1}{2})+2n\pi\approx0.9653 + 2n\pi$
Answer:
$(0.9653 + 2n\pi,0)$, where $n$ is any integer