Question

If y=Asin&t then the value of dy/dt is (where A and &are constants)

Answer 1

y = Asin&t
differentiate both sides with respect to t

dy/dt= A(dSin&t)/dt

dy/dt = Acos&t*d(&t)/dt ( using chain rule)

dy/dt= Acos&t*&(dt/dt)

dy/dt= Acos&t*&

dy/dt= A&cos&t.


Following formulas used:-

dsinx/dx= cosx

dx/dx= 1