Homework Sourseverify the identity sinx1cosx1cosxsinx2cscx Need step by ste
verify the identity (sinx/1+cosx)+((1+cosx/sinx)=2cscx. Need step by step explain
verify the identity (sinx/1+cosx)+((1+cosx/sinx)=2cscx. Need step by step explain
verify the identity (sinx/1+cosx)+((1+cosx/sinx)=2cscx. Need step by step explain
Solution
(sinx/1+cosx)+((1+cosx/sinx)=2cscx.
LHS : sinx/(1+cosx)+ (1+cosx)/sinx
take sinx(1+cosx)
{sinx*sinx + (1+cosx)^2}/sinx(1+cosx)
=( sin^2x +cos^2x +2cosx)/sinx(1+cosx)
= (2+2cosx)/sinx(1+cosx)
= 2(1+cosx)/sinx(1+cosx)
= 2/sinx = 2cscx
RHS
