LS = (1-cosx)/(sinx)+(sinx)/(1-cosx)
= ( (1-cosx)(1-cosx) + sinx(sinx) )/(sinx(1-cosx))
= (1 - 2cosx + cos^2 x + sin^2 x)/(sinx(1-cosx))
= (1 - 2cosx + 1)/(sinx(1-cosx)
= 2(1-cosx)/(sinx(1-cosx))
= 2/sinx
= 2 cscx
= RS
verify the identity
(1-cosx)/(sinx)+(sinx)/(1-cosx)=2cscx
Thank you!
1 answer