If `sinA=sinBa n dcosA=cosB ,` then prove that `sin(A-B)/2=0`

If sin A =cos B , then prove that A+B =90 ^(@)

If sinA=1/2 find sin2A & cos2A

If y= A sin x+ B cos x , then prove that (d^(2)y)/(dx^(2))+y=0 .

sin(A+B)=sinA cos B +cos A sin B

If y = 3 sin x + 2 cos x then prove that (d^2y)/(dx^2) + y = 0

sin(A-B)=sinA cos B-cosA sinB

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 .

If y = A sin x + B cos x , the prove that (d^2 y)/(dx^2) + y = 0

If a sin a=b sin B then prove that Delta ABC is isosceles.