Question

`(sin θ + sin 2θ)/(1 + cos θ + cos 2θ)` = ______.

विकल्प

• `1/2 tan θ`

• `1/2 cot θ`

• tan θ

• cot θ

Answer 1

`(sin θ + sin 2θ)/(1 + cos θ + cos 2θ)` = tan θ.

Explanation:

`(sin θ + sin 2θ)/(1 + cos θ + cos 2θ)`

= `(sin θ + 2 sin θ cos θ)/(2 cos^2 θ + cos θ)`

= `(sin θ(1 + 2 cos θ))/(cos θ(1 + 2 cos θ))`

 = tan θ