Question

y=cos x by son x then find dy by dx​

Answer 1

Answer:1 + cot²x

Explanation:

Y= cosx/sinx

Here y = u/v

dy/dx= {v(du/dx)-u(dv/dx)}/v²

So

dY/dx= {sinx ( d[cosx] / dx ) - cosx ( d[sinx] / dx ) } / sin²x

= { sinx•sinx - cosx•(- cosx) } / sin²x

= {sin²x + cos²x} / sin²x

= 1 + cot²x