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Popular >

y=(cos(x))/(sin^2(x)-1)

Solution

y = \frac{cos ( x )}{sin ^{2} ( x ) - 1}

Solution

Period : 2 π

Domain : 2 πn \leq x < \frac{π}{2} + 2 πn or \frac{π}{2} + 2 πn < x < \frac{3 π}{2} + 2 πn or \frac{3 π}{2} + 2 πn < x < 2 π + 2 πn

Y Intercepts : (0, - 1)

Asymptotes : None

Extreme Points : Maximum (2 πn, - 1), Minimum (π + 2 πn, 1)

+1

Interval Notation

Domain : [2 πn, \frac{π}{2} + 2 πn) \cup (\frac{π}{2} + 2 πn, \frac{3 π}{2} + 2 πn) \cup (\frac{3 π}{2} + 2 πn, 2 π + 2 πn)

Solution steps

Periodicity of

\frac{cos ( x )}{sin ^{2} ( x ) - 1} : 2 π

Domain of

\frac{cos ( x )}{sin ^{2} ( x ) - 1} : 2 πn \leq x < \frac{π}{2} + 2 πn or \frac{π}{2} + 2 πn < x < \frac{3 π}{2} + 2 πn or \frac{3 π}{2} + 2 πn < x < 2 π + 2 πn

Axis interception points of

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

Y Intercepts

: (0, - 1)

Asymptotes of

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

None

Extreme Points of

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

Maximum

(2 πn, - 1),

Minimum

(π + 2 πn, 1)

Popular Examples

y = - x^{2} - 8 x + 1

p(t)=3t^3-t^2-t+2

p (t) = 3 t^{3} - t^{2} - t + 2

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f (k) = k \cdot (\frac{1}{2})^{k + 1}

f (x) = x^{- 2} + 4

f (x) = 3 x^{2} + 2 x + 8

Frequently Asked Questions (FAQ)

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