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Popular >

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

Solution

f (x) = tan^{2} (x) sin^{2} (x)

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

Interval Notation

Domain : [πn, \frac{π}{2} + πn) \cup (\frac{π}{2} + πn, π + πn)

Range : [0, \infty)

Solution steps

Periodicity of

tan^{2} (x) sin^{2} (x) : π

Domain of

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

Range of

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

Axis interception points of

tan^{2} (x) sin^{2} (x) :

X Intercepts

: (πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

tan^{2} (x) sin^{2} (x) :

Vertical

: x = \frac{π}{2} + πn

Extreme Points of

tan^{2} (x) sin^{2} (x) :

Minimum

(πn, 0)

Popular Examples

f (x) = \frac{3 x}{2} + 5

f(x)=x^2-10x+11

f (x) = x^{2} - 10 x + 11

f (x) = - 2 x + 0

y = - 2 x^{2} - 0.8 x - 2

g (x) = 5 - x^{2}

Frequently Asked Questions (FAQ)

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