`(sinx - siny)/(cosx + cosy) = tan((x-y)/2)`

What is the value of [(sin x + sin y)(sin x - sin y)]//[(cosx + cosy)(cosy- cosx)] ? [(sin x + sin y)(sin x - sin y)]//[(cosx + cosy)(cosy- cosx)] का मान क्या है?

What is the value of [(sin x + sin y) (sin x – sin y)]/[(cosx + cosy) (cosy – cosx)]?

Prove that: tan^(-1){(a cosx-b sinx)/(b cosx+a sinx)} =tan^(-1)((a)/(b))-x

Differentiate the following functions with respect to x. (i) x^(2//3)+7e^x-(5)/(x)+7tanx (ii) log {tan((pi)/(4)+(x)/(2))} (iii) (sinx-cosx)/(sinx+cosx) (iv) tan(tan^(-1)sqrt((1-cosx)/(1+cosx)))

(cosx-cosy)^(2)+(sinx-siny)^(2)=?

If cosx+cosy+cosalpha=0 and sinx + siny + sinalpha=0 , then cot((x+y)/2)=

if y=(sinx+cosx)/(sinx-cosx) , then (dy)/(dx) at x=0 is equal to

int((cotx)/(sinx) - tan^(2)x -(tanx)/(cosx) + 2/(cosx)) dx