Question #c7e58

1 Answer
Ratnaker Mehta
Jul 31, 2016

See the Proof in Explanation section.

Explanation:

cot^2v-cos^2v=cos^2v/sin^2v-cos^2v=cos^2v(1/sin^2v -1)

=cos^2v(csc^2v-1)=cos^2vcot^2v. Thus,

cot^2v-cos^2v=cot^2vcos^2v

:. (cotv-cosv)(cotv+cosv)=(cotvcosv)(cotvcosv).

:. (cotv-cosv)/(cotvcosv)=(cotvcosv)/(cotv+cosv)

Hence, the Proof.

Related questions
See all questions in Solving Trigonometric Equations
Impact of this question
1098 views around the world
You can reuse this answer
Creative Commons License