निकालें `lim_(y to a)sin.(y-a)/(2)tan.(piy)/(2a)`

lim_(y rarr a)(sin((y-a)/2)tan((pi y)/(2a))) is equal to

Evaluate lim_(yto0)(y-tan^(-1)y)/(y-siny)

If sin x + sin y = a and cos x + cos y = b, than tan^2((x+y)/(2))+tan^2((x-y)/(2)) is equal to:

the value of lim_(x rarr y)(sin^(2)x-sin^(2)y)/(x^(2)-y^(2)) equals

If x="tan"(y)/(2)+"log tan"(y)/(2)-2log(1+"tan"(y)/(2)) , show that, (dy)/(dx)=(1)/(2)"sin"(1+sin y+cos y)

If x=sin(2tan^(-1)2)and y=sin((1)/(2)tan^(-1).(4)/(3)) , then prove that y^2 = 1 - x