Question

[(sin(-x)-cos(-x)-1)/(sin(-x)+cos(-x)-1)]=cosec(x)+cot(x)
Can someone help me prove that the RHS is equal to LHS

Answer 1

I would advise you to divide numerator and denominator by sinx
and then substitute 1 by using identity cosec^2-cot^2 = 1 in numerator
and then take cosec + cot common in numerator
then it would help you to get denominator canceled

Answer 2

I tried but it did not work. My lecturer said I have to rationalize twice.

Answer 3

sin(-x) = -sinx
cos(-x) = cosx

Answer 4

ok bye gtg i have some important work to do bye : )