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Popular >

f(x)=(tan^2(x))/2

Solution

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

Solution

Period : π

Domain : πn \leq x < \frac{π}{2} + πn or \frac{π}{2} + πn < x < π + πn

Range : f (x) \geq 0

X Intercepts : (πn, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = \frac{π}{2} + πn

Extreme Points : Minimum (πn, 0)

+1

Solution steps

Periodicity of

\frac{tan ^{2} ( x )}{2} : π

Domain of

\frac{tan ^{2} ( x )}{2} : πn \leq x < \frac{π}{2} + πn or \frac{π}{2} + πn < x < π + πn

Range of

\frac{tan ^{2} ( x )}{2} : f (x) \geq 0

Axis interception points of

\frac{tan ^{2} ( x )}{2} :

X Intercepts

: (πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{tan ^{2} ( x )}{2} :

Vertical

: x = \frac{π}{2} + πn

Extreme Points of

\frac{tan ^{2} ( x )}{2} :

Minimum

(πn, 0)

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