`cosx-sinx=-1`

cosx{(cosx)/(1-sinx)+(1-sinx)/(cosx)}, is

cosx{(cosx)/(1-sinx)+(1-sinx)/(cosx)}, is

Show that (1-cosx)/sinx = sinx/(1+cosx)

If delta(x)=|[1,cosx,1-cosx],[1+sinx,cosx,1+sinx-cosx],[sinx,sinx,1]|, then int_0^(pi/2)delta(x)dx is equal to

If Delta(x)=|(1,cosx,1-cosx),(1+sinx,cosx,1+sinx-cosx),(sinx, sinx ,1)| then int_0^(pi//2)Delta(x) dx is equal to :

If y=(sinx)/(1+(cosx)/(1+(sinx)/(1+(cosx)/(1+ tooo)))),p rov et h a t(dy)/(dx)=((1+y)cosx+ysinx)/(1+2y+cosx-sinx)

If y=(sinx)/(1+(cosx)/(1+(sinx)/(1+(cosx)/(1+\ ddotto\ oo)))) , prove that (dy)/(dx)=((1+y)cosx+ysinx)/(1+2y+cosx-sinx)

If y=(sinx)/(1+(cosx)/(1+(sinx)/(1+(cosx)/(1+ tooo)))),p rov et h a t(dy)/(dx)=((1+y)cosx+ysinx)/(1+2y+cosx-sinx)

If y=(sinx)/(1+(cosx)/(1+(sinx)/(1+(cosx)/(1+\ ddotto\ oo)))) , prove that (dy)/(dx)=((1+y)cosx+ysinx)/(1+2y+cosx-sinx)