Question

The number of point of intersection of $f\left(x\right)=\tan x$ and $g\left(x\right)=\cos x\forall x\in [-\pi ,\pi ]=$

• A. $1$
• B. $0$
• C. $2$

Answer 1

The correct option is C $2$

Given two functions:
$f\left(x\right)=\tan x\text{and}g\left(x\right)=\cos x\forall x\in [-\pi ,\pi ]$
Now, using the graph of $\cos x$ and $\tan x,$ let's find the number of points of intersection for these two functions:


Thus, from the combined graph of these two functions,
$\tan x\&\cos x$ intersect each other at two points.