If `x = rsin theta*cos phi`, `y = rsin theta*sin phi` and `z = rcos theta` then prove that `x^2 + y^2 + z^2 = r^2`

If x = r cos theta cos phi, y = r cos theta sin phiz = r sin theta, then x ^ (2) + y ^ (2) + z ^ (2) = (i) r ^ (2) (ii ) y ^ (2) (iii) x ^ (2) (iv) z ^ (2)

If x = 3 sin theta + 4 cos theta and y = 3 cos theta - 4 sin theta then prove that x^(2) + y^(2) = 25 .

If x=r sin theta cos varphi,y=r sin theta sin varphi and z=r cos theta, then x^(2)+y^(2)+z^(2)=r^(2)(b)x^(2)+y^(2)-z^(2)=r^(2)(c)x^(2)-y^(2)+z^(2)=r^(2)(d)z^(2)+y^(2)-x^(2)=r^(2)

If x = a cos theta - b sin theta and y = a sin theta + b cos theta, prove that x^2 + y^2 = a^2 + b^2.

If x = 3sin theta + 4cos theta and y = 3cos theta - 4 sin theta then prove that x^(2) + y^(2) = 25 .

If xcos theta- y sin theta =a, x sin theta + y cos theta = b , prove that: x^(2) + y^(2) = a^(2) + b^(2) .

If x=a sin theta+b cos theta and y=a cos theta -b sin theta, " prove that " x^(2)+y^(2)=a^(2)+b^(2).