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Popular >

f(x)=arctan(cos(x))

Solution

f (x) = arctan (cos (x))

Solution

Domain : - \infty < x < \infty

Range : - \frac{π}{4} \leq f (x) \leq \frac{π}{4}

Y Intercepts : (0, \frac{π}{4})

Asymptotes : None

Extreme Points : Maximum (2 πn, arctan (cos (2 πn))), Minimum (π + 2 πn, arctan (cos (π + 2 πn)))

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{π}{4}, \frac{π}{4}]

Solution steps

Domain of

arctan (cos (x)) : - \infty < x < \infty

Range of

arctan (cos (x)) : - \frac{π}{4} \leq f (x) \leq \frac{π}{4}

Axis interception points of

arctan (cos (x)) :

Y Intercepts

: (0, \frac{π}{4})

Asymptotes of

arctan (cos (x)) :

None

Extreme Points of

arctan (cos (x)) :

Maximum

(2 πn, arctan (cos (2 πn))),

Minimum

(π + 2 πn, arctan (cos (π + 2 πn)))

Popular Examples

f (x) = 3 x^{2} - x + 4

y = \frac{2}{5} x + 2

y = 4 x - 12

f (x) = \frac{x ^{2} - 2}{x}

f(x)=log_{5}(x-2)

f (x) = lo g_{5} (x - 2)

Frequently Asked Questions (FAQ)

What is the f(x)=arctan(cos(x)) ?
The f(x)=arctan(cos(x)) is