If sin A + sin 2A = x and cos A + cos 2A = y, then `(x^(2)+y^(2)) (x^(2)+y^(2)-1)=`

If sin A + sin 2A = x and cos A + cos 2A = y, then (x^(2)+y^(2)) (x^(2)+y^(2)-3)=

If sin A+ sin 2A = x and cos A + cos 2A = y, then (x^(2)+y^(2)) (x^(2)+y^(2)-3)=

If sin A+sin 2A=x and cos A+cos 2A=y, then (x^2+y^2)(x^2+y^2-3)=

If sin x + sin y = 1/2 and cos x + cos y = 1 then tan (x + y)

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 sin x + sin y= (1)/(2) and cos x + cos y=1 , then tan (x+y) =______

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 sin^(-1) x + sin^(-1) y = (pi)/(2) and sin 2x = cos 2y , then

sin^(2) x + cos ^(2) y = 1