Question

What is the derivative of `Sin(y) = - cos(x)`?

Answer 1

`dy/dx=sinx/cosy.`

Explanation:

`siny=-cosx.`

Diff. both sided w.r.t. x, we have,
.`d/dxsiny=-d/dxcosx.`
`d/dysiny*dy/dx=-(-sinx).`..........[chain Rule]
`cosy.dy/dx=sinx.`
`dy/dx=sinx/cosy.`