What is the inflection-(sin(x))/(cos(x)) ?

The inflection-(sin(x))/(cos(x)) is (pin,0)

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inflection-(sin(x))/(cos(x))

inflection points

- \frac{sin ( x )}{cos ( x )}

(πn, 0)

Solution steps

Find where

f^{''} (x)

is equal to zero or undefined

x = πn, x = \frac{π}{2} + πn

Identify inflection points not in domain or where

f (x)

is not continuous

Domain of

- \frac{sin ( x )}{cos ( x )} : πn \leq x < \frac{π}{2} + πn or \frac{π}{2} + πn < x < π + πn

f (x)

is not defined at

x = \frac{π}{2} + πn

, therefore:

x = πn

Find intervals:

Concave Downward

: πn < x < \frac{π}{2} + πn,

Concave Upward

: \frac{π}{2} + πn < x < π + πn

Plug

x = πn

into

- \frac{sin ( x )}{cos ( x )} : 0

(πn, 0)

What is the inflection-(sin(x))/(cos(x)) ?
The inflection-(sin(x))/(cos(x)) is (pin,0)