Question

If 2sin theta +cos theta = root 5 , tan theta + cot theta = ?

Answer 1

Step-by-step explanation:

tanθ+cotθ=2

⇒tanθ+

tanθ

1

=2

⇒

tanθ

tan

2

θ+1

=2

⇒tan

2

θ+1=2tanθ

⇒tan

2

θ−2tanθ+1=0

⇒(tanθ−1)

2

=0

⇒tanθ=1

⇒θ=45°

∴sinθ=sin45°=

2

1

Hence, the answer is

2