Question

The sum of all solutions of the equation

tan 2θ = tan 2

i

in the interval [0, 2π] is​

Answer 1

Step-by-step explanation:

tan2θ+23tanθ=1

tan2θ+23tanθ−1=0

Add +4 on both sides 

tan2θ+23tanθ+3=4

(tanθ+3)2=4

tanθ+3=±2

tanθ=2−3, tanθ=−(2+3)

tan(12π)     tan(2−π)

x=nπ±12π for n=0,1,2…..