Question

prove(sinx/cosx+1)+(cosx-1/sinx)=0

Answer 1

sin/(cos+1) + (cos-1)/sin
= [sin*sin + (cos-1)(cos+1)]/[sin(cos+1)]
= (sin^2 + cos^2 - 1)/[sin(cos+1)]
= (1-1)/[sin(cos+1)]
= 0