Question

prove that
(1 + cot2Q) (1 - cosQ) (1 + cosQ) = 1

Answer 1

Answer:

hope it will help you.

Explanation:

(1 + cot^2Q)(1 - cos Q)(1 + cos Q)

= ( cosec^2Q)(1 - cos^2Q)                                   *[ (1 + cot^2Q) = (cosec^2Q) ]

                                                                              [ (a + b) (a - b) = a^2 - b^2 ]

= ( cosec^2Q)(sin^2Q)                                          [ (1 - cos^2Q) = (sin^2Q) ]

= 1/sin^2Q * sin^2Q = 1 (hence proved)