Question

3tan 1/3 theta=8 in the interval from 0 to 2pi. Solve the equation.

Answer 1

3tan(θ/3) = 8
tan(θ/3) = 8/3
Now, tan(1.212) = 8/3, so use that as your reference angle. tanθ is positive is QI and QIII, so

θ/3 = 1.212 or π+1.212=4.353
so, θ=3.636 or 13.061

The only solution in [0,2π) is 3.636

Answer 2

thank you