Question

solve:
cot(2theta/3)= -sqrt3

Please help, I don't know how to start and how to set it up.

Answer 1

and theta is between 0< theta< 2 pi

Answer 2

Let 'x' equal (2theta/3). If cot(x) = -sqrt3, then tan(x) = -1/sqrt3. Locating Tan(x) on the unit circle brings us pi/6. So, X=pi6 is the same as (2theta/3)=pi/6. Multiply both sides by 3. 2theta=pi/2. Multiply both sides by 1/2. Theta=pi/4. <<done