Asked by Earlisha
1+Cosx 1-Cosx
_______ - _______ = 4CotxCscx
1-cosx 1+Cosx
_______ - _______ = 4CotxCscx
1-cosx 1+Cosx
Answers
Answered by
Reiny
LS = (1+cosx)/(1-cosx) - (1-cosx)/(1+cosx)
= ((1+cosx)(1+cosx) - (1-cosx)(1-cosx)/((1-cosx)(1+cosx))
= (1 + 2cosx + cos^2x - 1 + 2cosx - cos^2x)/(1-cos^2x)
= 4cosx/sin^2x
= 4(cosx/sinx)(1)/sinx
= 4cotx cscx
= RS
= ((1+cosx)(1+cosx) - (1-cosx)(1-cosx)/((1-cosx)(1+cosx))
= (1 + 2cosx + cos^2x - 1 + 2cosx - cos^2x)/(1-cos^2x)
= 4cosx/sin^2x
= 4(cosx/sinx)(1)/sinx
= 4cotx cscx
= RS
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.