If `a costheta+b sin theta = 3 and a sin theta - b cos theta = 4` then `a^2+b^2` has the value

If a cos theta+b sin theta=3 and a sin theta-b cos theta=4 then a^(2)+b^(2) has the value

If a cos theta+b sin tan theta=3 and a sin theta-b cos theta=4, then a^(2)+b^(2) has the value

If a cos theta + b sin theta =4 and a sin theta- b cos theta = 3 " then" a^(2) + b^(2) is equal to

If x=a cos theta + b sin theta and y=a sin theta - b cos theta. then a ^(2) +b^(2) is equal to

If x=a cos theta + b sin theta and y=a sin theta - b cos theta. then a ^(2) +b^(2) is equal to

If a cos theta + b sin theta = c " then " (a sin theta - b cos theta )^(2) =

If acos theta+bsin theta=4 and a sin theta-b cos theta=3 ,then find the value of a^(2)+b^(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 a sin^(3) theta + b cos^(3) theta = sin^(3) theta * cos theta and a sin theta - b cos theta=0 , then prove that a^(2)+b^(2)=1 .