Question

If sec² theta = 2+2 tan theta, then find the value of tan theta​

Answer 1

Answer:

We have identity sec

2

θ=tan

2

θ+1. Substituting this identity in the given equation, we obtain tan

2

θ+1=2+2tanθ

tan

2

θ−2tanθ−1=0

By solving above quadratic equation, we obtain tanθ=1±

2