Question

y=sin(x+5)/cosx,

find the dy/dx​

Answer 1

Step-by-step explanation:

We have,

$y = \frac{ \sin(x + 5) }{ \cos(x) }$

$\implies \: y = \frac{ \sin(x) \cos(5) + \cos(x) \sin(5) }{ \cos(x) }$

$\implies \: y = \cos(5) \tan(x) + \sin(5)$

$\implies \frac{dy}{dx} = \cos(5) \sec^{2} (x) + 0$

$\implies \frac{dy}{dx} = \cos(5) \sec^{2} (x)$