How do you find the solution to 3tantheta-1=tantheta+9 if 0<=theta<2pi?

1 Answer
Mar 27, 2018

Rearrange.

θ approx 1.37340077 rad

Explanation:

3tantheta-1=tantheta+9
0 leq θ < 2pi

Start by rearranging.

3tantheta-1=tantheta+9
3tantheta=tantheta+10 //add 1 to both sides
2tantheta=10 // subtract tantheta from both sides
tantheta=5 // divide both sides by 2
theta=arctan5 // arctan on both sides, ( arctan(tan(theta))= theta)

θ approx 1.37340077 rad