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Popular Functions >

f(x)=(1+cos^2(x))^{1/2}

Solution

f (x) = (1 + cos^{2} (x))^{\frac{1}{2}}

Solution

Domain : True for all x \in R

Y Intercepts : (0, 2^{\frac{1}{2}})

Asymptotes : None

Extreme Points : Maximum (πn, (1 + cos^{2} (πn))^{\frac{1}{2}}), Minimum (\frac{π}{2} + πn, (1 + cos^{2} (\frac{π}{2} + πn))^{\frac{1}{2}})

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

(1 + cos^{2} (x))^{\frac{1}{2}} :

True for all

x \in R

Axis interception points of

(1 + cos^{2} (x))^{\frac{1}{2}} :

Y Intercepts

: (0, 2^{\frac{1}{2}})

Asymptotes of

(1 + cos^{2} (x))^{\frac{1}{2}} :

None

Extreme Points of

(1 + cos^{2} (x))^{\frac{1}{2}} :

Maximum

(πn, (1 + cos^{2} (πn))^{\frac{1}{2}}),

Minimum

(\frac{π}{2} + πn, (1 + cos^{2} (\frac{π}{2} + πn))^{\frac{1}{2}})

Graph

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Frequently Asked Questions (FAQ)

What is the f(x)=(1+cos^2(x))^{1/2} ?
The f(x)=(1+cos^2(x))^{1/2} is