Math, asked by chakrabortyboudhayan, 11 months ago

prove that 1+cosx/1-cos x= tan^2 x /(sec x -1)^2​

Answers

Answered by Astritb07
2

Answer:

Step-by-step explanation:

Lets take the RHS

tan^2x/[secx-1]^2

=sec^2x-1/[secx-1]^2

   {tan^2x=sec^2x-1}

=[secx+1][secx-1]/[secx-1][secx-1]

=[secx+1]/[secx-1]

=[1/cosx]+1 divided by [1/cosx]-1

=[1+cosx]/cosx whole divided by [1-cosx]/cosx

=1+cosx/1-cosx

LHS=RHS

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