Find all solutions of the equation correct to two decimal places

1. Aug 29, 2011

fillipeano

1. The problem statement, all variables and given/known data
Find all solutions of the equation correct to two decimal places.
tan x = $\sqrt{4 − x^2}$

2. Relevant equations

3. The attempt at a solution
I squared both sides, giving me tan^2x = 4 - x^2, but I don't know where to go from there.

2. Aug 29, 2011

Ray Vickson

(1) Draw a (rough) graph of tan x and of sqrt(4-x^2) on the same plot. This will give you
an approximate solution.
(2) If necessary, correct the rought solution from (1) using Newton's method, for example (among many, many possible available methods).

RGV

3. Aug 29, 2011

fillipeano

I wasn't sure what I was supposed to do when I posted this. Thank you for clarifying, I used a graphing calculator and got the answer.