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

(cosx)/(1+sinx)+(1+sinx)/(cosx) is equal to: (cosx)/(1+sinx)+(1+sinx)/(cosx) किसके बराबर है:

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

Prove the following Identities (cosx+sinx)/(cosx-sinx)-(cosx-sinx)/(cosx+sinx)=2tan2x

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

Prove that (1+sinx-cosx)/(1+sinx+cosx) +(1+sinx+cosx)/(1+sinx-cosx) =2 cosec x

Prove that (1+sinx-cosx)/(1+sinx+cosx) +(1+sinx+cosx)/(1+sinx-cosx) =2 cosec x

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 :

A=|{:(cosx,-sinx),(sinx,cosx):}| , then show that (A^(-1))^(-1)=A.