Question

If x = r cosx and y = r sinx then dy/dx = ​

Answer 1

tanx

Step-by-step explanation:

here y=r sinx

differentiation wrt r

dy/dr=sinx

also x=r cosx

differentiation wrt r

dx/dr=cosx

now dy/dx=sinx/cosx=tanx

Answer 2

Step-by-step explanation:

$\frac{y}{x} = \frac{ \sin(x) }{ \cos(x) } = \tan(x) \\ so \: y = x \tan(x) \\ \frac{dy}{dx} = x { \sec(x) }^{2} + \tan(x)$