(a^(2)-b^(2))8m theta+2ab cos theta=(sqrt(a)-a^(-1))/(a^(2)+b^(2))

If (a^(2)-b^(2))sin theta+2 ab cos theta-(a^(2)+b^(2))=0 , then prove that tan theta=(1)/(2)((a)/(b)-(b)/(a)) .

If (a^(2)-b^(2))sin theta+2ab cos theta=a^(2)+b^(2)tan theta=?

If (a^(2)-b^(2))sin theta+2ab cos theta=a^(2)+b^(2) then prove that tan theta=(a^(2)-b^(2))/(2ab)

Show that the maximum and minimum values of sqrt(a^(2)cos^(2)theta + b^(2)sin^(2) theta) + sqrt(a^(2)sin^(2)theta + b^(2)cos^(2)theta) are sqrt(2(a^(2) +b^(2)) and a + b respectively.

If tan theta=(a)/(b), prove that (a sin theta-b cos theta)/(a sin theta+b cos theta)=(a^(2)-b^(2))/(a^(2)+b^(2))

If tan theta=(a)/(b), show that (a sin theta-b cos theta)/(a sin theta+b cos theta)=(a^(2)-b^(2))/(a^(2)+b^(2))

u=sqrt(a^(2)cos^(2)theta+b^(2)sin^(2)theta)+sqrt(a^(2)sin^(2)theta+b^(2)cos^(2)theta) then the difference between maximum and minimum values of u^(2) is

If u=sqrt(a ^(2) cos ^(2) theta+b ^(2) sin ^(2) theta)+ sqrt( a^(2) sin ^(2) theta+b ^(2) cos ^(2) theta), then the difference between the maximum and minimum values of u^(2) is-