Find all solutions of the equation correct to two decimal places

[fillipeano]

Homework Statement

Find all solutions of the equation correct to two decimal places.
tan x = $\sqrt{4 − x^2}$

Homework Equations

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.

 

[Ray Vickson]

Homework Statement

Find all solutions of the equation correct to two decimal places.
tan x = $\sqrt{4 − x^2}$

Homework Equations

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.

(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

 

[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.