Question

(tan 0 + 2) (2 tan 0 + 1) = 5 tan 0 + sec2 0​

Answer 1

Answer:

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