If-cosec-sec-and-cot-are-in-H-P-then-sin-tan-cos-

Question Number 3317 by rishabh last updated on 10/Dec/15

If cosec θ, \sec θ, and \cot θ are in H . P ., then

\frac{\sin θ + \tan θ}{\cos θ} = ?

Answered by prakash jain last updated on 10/Dec/15

\frac{2}{\sec θ} = \frac{1}{cosec θ} + \frac{1}{\cot θ} = \sin θ + \tan θ

2 \cos θ = \sin θ + \tan θ

\frac{\sin θ + \tan θ}{\cos θ} = 2