If tan `theta =(a)/(b) ` prove that a sin `2theta + b` cos `2theta =b`

If tan theta =a/b , prove that a sin 2 theta+b cos 2 theta=b .

If tan theta . =(b)/(a) then prove that acos 2 theta +b sin 2 theta =a

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) then b cos2 theta+a sin2 theta=

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

If tan theta=(a)/(b) , find the value of (a sin theta-b cos theta)/(asin theta+b cos theta)