Turunan dari y= 1+cos x ------------- Sin x Adalah

[tex]y = \frac{1 + cos(x)}{sin(x)} \\ y = \frac{1}{sin(x)} + \frac{cos(x)}{sin(x)} \\ y = cosec(x) + cotan(x) \\ [/tex]
y' = - cosec (x) cotan (x) + (- cosec²(x))
= -cosec(x) cotan(x) - cosec²(x)
= (-cos(x) -1)/ sin²(x)