Question

prove that
1+cos x/ 1-cos x = tan²x/(sec x- 1)²​

Answer 1

Answer:

the question is

(1+cos x)/(1-cos x) = (tan ^2 x)/(sec x -1)^2

Step-by-step explanation:

the answer for this is

it is easier to solve the RHS instead of LHS

RHS=(tan^2 x)/ (sec x - 1)^2

=(sec ^2 x -1)/(sec x - 1)^2

=(sec x +1)(sec x -1)/(sec x -1)^2

=(sec x + 1)/(sec x - 1)

=((1/cos x)+1)/((1/cos x)-1)

=((1+cos x)/(cos x))/((1-cos x)(cos x))

=(1+cos x)/(1-cos x)=LHS

badi mehnat lagi hai typing mein.

brainliest toh banta hai bhai/behen.

hope it helps.