If sin A sin 2A = x and cos A + cos 2A = y, then `(x^(2)+y^(2)) (x^(2)+y^(2))=`

If x cos A + y sin A = m and x sin A - y cos A = n, then prove that : x^(2) + y^(2) = m^(2) + n^(2)

If x = a cos ^ (2) theta sin theta and y = a sin ^ (2) theta cos theta then ((x ^ (2) + y ^ (2)) ^ (3)) / (x ^ (2 ) and ^ (2)) =

If sin x+sin y=a and cos x+cos y=b then cos(x-y) is equal to (1)/(2)(a^(2)+b^(2)-2)(B)(1)/(2)(a^(2)+b^(2)+2)

If y= sin x+cos x then (d^(2)y)/(dx^(2)) is :-

If y= sin x+cos x then (d^(2)y)/(dx^(2)) is :-

If sin30^(@)=x " and " cos60^(@)=y, " then " x^(2)+y^(2) is

cos x + cos y + cos z = 0 and sin x + sin y + sin, then cos ^ (2) ((xy) / (2)) =

cos x + cos y + cos z = 0 and sin x + sin y + sin z, then cos ^(2) (( x-y)/( 2)) =

If sin x + sin y + sin z = 0 and cos x + cos y + cos z = 0 then prove that cot (x+y)/2 = cot z and cos (x-y)/2 = pm 1/2