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Popular >

f(x)=cot^2(x)-tan^2(x)

Solution

f (x) = cot^{2} (x) - tan^{2} (x)

Solution

Period : π

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

X Intercepts : (\frac{π}{4} + πn, 0), (\frac{3 π}{4} + πn, 0)

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

+1

Interval Notation

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

Solution steps

Periodicity of

cot^{2} (x) - tan^{2} (x) : π

Domain of

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

Axis interception points of

cot^{2} (x) - tan^{2} (x) :

X Intercepts

: (\frac{π}{4} + πn, 0), (\frac{3 π}{4} + πn, 0)

Asymptotes of

cot^{2} (x) - tan^{2} (x) :

Vertical

: x = \frac{π}{2} + πn, x = πn

Popular Examples

y = x^{2} + 5 x - 7

y = - x^{2} + 2 x + 10

f(x)= 1/(x-2)+3

f (x) = \frac{1}{x - 2} + 3

y=(1+4x^3)(1+2x^2)

y = (1 + 4 x^{3}) (1 + 2 x^{2})

f(x)=-2(x-1)^2+5

f (x) = - 2 (x - 1)^{2} + 5

Frequently Asked Questions (FAQ)

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