Question

If sin x-2y= cos 2y-x then find cot2y

Answer 1

Ans:(sinx+cosx)/(sinx-cosx)

Step-by-step explanation:

sin(x-2y)=cos(2y-x)

sinxcos2y-cosxsin2y=cos2ycosx+sin2ysinx

dividing both sides by sin2y

sinxcot2y-cosx=cosxcot2y+sinx

sinxcot2y-cosxcot2y=sinx+cosx

cot2y (sinx-cosx)=sinx+cosx

cot2y=(sinx+cosx)/(sinx-cosx)