Question

if siny=x,cos(a+y)then dy/dx=?

Answer 1

Answer:

If siny=xcos(a+y) , then (dy)/(dx) is equal to (a)(cos^2(a+y)

Answer 2

Step-by-step explanation:

Given, sin y=xcos(a+y)

x=siny/cos(a+y)

differentiating with respect to y,

dx/dy=[cos(a+y)cosy-siny(-sin(a+y))]/cos²(a+y)

dx/dy=[cos(a+y)cosy+sinysin(a+y)]/cos²(a+y)

dx/dy=cos(a+y-y)/cos²(a+y)

dx/dy=cosa/cos²(a+y)

dy/dx=cos²(a+y)/cosa