Question

can someone please answer this solve tan 2theta equals square root 3 for [0degrees,360degrees].

Answer 1

The Question is :

$\tan(2x) = \sqrt{3}$

(let us consider "theta" as "x")

tan x is positive in 2 quadrants, i.e., 1st and 3rd quadrants.

This means that there will be 2 solutions for this equation.

tan 2x = tan 60° and, tan 2x = tan 240°

this gives,

x = 30°, 120°

Hence, answer is 30°, 120°

Thank You :)

Answer 2

ANSWER

tan2theta=√3

2theta=tan^1 √3

2theta=π/3

theta=π/6