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Popular >

f(x)=(cos(x))/(cot(x))

Solution

f (x) = \frac{cos ( x )}{cot ( x )}

Solution

Period : 2 π

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

Range : - 1 < f (x) < 0 or - 1 < f (x) < 0 or 0 < f (x) < 1 or 0 < f (x) < 1

Intercepts : None

Asymptotes : None

Extreme Points : None

+1

Interval Notation

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

Range : (- 1, 0) \cup (- 1, 0) \cup (0, 1) \cup (0, 1)

Solution steps

Periodicity of

\frac{cos ( x )}{cot ( x )} : 2 π

Domain of

\frac{cos ( x )}{cot ( x )} : 2 πn < x < \frac{π}{2} + 2 πn or \frac{π}{2} + 2 πn < x < π + 2 πn or π + 2 πn < x < \frac{3 π}{2} + 2 πn or \frac{3 π}{2} + 2 πn < x < 2 π + 2 πn

Range of

\frac{cos ( x )}{cot ( x )} : - 1 < f (x) < 0 or - 1 < f (x) < 0 or 0 < f (x) < 1 or 0 < f (x) < 1

Axis interception points of

\frac{cos ( x )}{cot ( x )} :

None

Asymptotes of

\frac{cos ( x )}{cot ( x )} :

None

Extreme Points of

\frac{cos ( x )}{cot ( x )} :

None

Popular Examples

f(x)=log_{1/3}(x+1)

f (x) = lo g_{\frac{1}{3}} (x + 1)

y = (\frac{1}{2}) x

y = 3 x + 31

g(x)=(x+6)/(x^2-36)

g (x) = \frac{x + 6}{x ^{2} - 36}

y = cos^{2} (x^{2})

Frequently Asked Questions (FAQ)

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