en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y=arctan(cos(x))

Solution

y = 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

y = - x - 10

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

f(x)=x^3+2x^2+9x+18

f (x) = x^{3} + 2 x^{2} + 9 x + 18

y = - \frac{3}{2} x^{2} - 6 x

f(x)=x^5-5x^3+4x

f (x) = x^{5} - 5 x^{3} + 4 x

Frequently Asked Questions (FAQ)

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