Question

( cos theta - cot theta ) / 1- sin theta = - cot theta
prove the identity.. i'm having troubling making the LS equal the RS

Answer 1

write cot theta= cos theta/ sin theta in LS
what you get ?

Answer 2

then you can factor out cos theta from numerator.

Answer 3

what? i don't understand

Answer 4

did you know this :
cot theta= cos theta/ sin theta

Answer 5

yes i know that

Answer 6

then use that in LS

Answer 7

( cos theta - cot theta ) / (1- sin theta)
= ( cos theta - cos theta/ sin theta ) / (1- sin theta)
got his ?
now factor out cos theta from numerator,
= cos theta (1-1/ sin theta ) / (1- sin theta)