Question

The Value of (cosec θ + cot θ) × (1 – cos θ) is:

पर्याय

• cos θ

• sin θ

• cosec θ

• sec θ

Answer 1

sin θ

Explanation:

(cosec θ + cot θ) × (1 – cos θ)

= `(1/sin theta + cos theta/sin theta) xx (1 - cos theta)`

= `((1 + cos theta))/sin theta xx (1 - cos theta)`

= `((1)^2 - (cos theta)^2)/sin theta`

= `(1 - cos^2 theta)/sin theta`

= `sin^2 theta/sin theta`

= sin θ