[" ing the points "A],[" it "cos theta=(a^(2)-b^(2))/(a^(2)+b^(2))]

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))

If tan theta=(a)/(b) such that (a sin theta-b cos theta)/(a sin theta+b cos theta)=(a^(2)-b^(2))/(a^(2)+b^(2))^(k) then k is ?

If the line segment joining the points A(a,b) and B(a, -b) subtends an angle theta at the origin, show that cos theta = (a^2 - b^2)/(a^2 +b^2) .

If sin theta +sin phi=a and cos theta +cos phi =b then prove cos (theta +phi)=(b^(2)-a^(2))/(b^(2)+a^(2))

If sin theta+sin2 theta=a and cos theta+cos2 theta=b, show that,(a^(2)+b^(2))(a^(2)+b^(2)-3)=2b

If sin theta + sin 2 theta = a " and " cos theta + cos 2 theta = b, "show that," (a^(2) + b^(2))(a^(2) +b^(2) -3)=2b

If cos theta+sin theta=a,cos2 theta=b, then (a)a^(2)=b^(2)(2-a^(2))(b)b^(2)=a^(2)(2-b^(2))(c)b^(2)=a^(2)(2-a^(2))(d)a^(2)=b^(2)(2-b^(2))

If : cot theta =(a)/(b), "then" : a *cos 2 theta +b * sin 2 theta= A) a^(2) +b^(2) B) a^(2) - b^(2) C)a D)b

Prove that the product of the lengths of the perpendiculars drawn from the points (sqrt(a^(2)-b^(2)), 0) and (-sqrt(a^(2)-b^(2)), 0) to the line (x)/(a)cos theta+(y)/(b)sin theta=1 is b^(2)