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Popular >

f(x)=(cot(x))/(sin(x))

Solution

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

Solution

Period : 2 π

Domain : 2 πn < x < π + 2 πn or π + 2 πn < x < 2 π + 2 πn

X Intercepts : (\frac{π}{2} + 2 πn, 0), (\frac{3 π}{2} + 2 πn, 0)

Asymptotes : Vertical x = 2 πn, x = π + 2 πn

Inflection Points : (\frac{π}{2} + 2 πn, 0), (\frac{3 π}{2} + 2 πn, 0)

+1

Interval Notation

Domain : (2 πn, π + 2 πn) \cup (π + 2 πn, 2 π + 2 πn)

Solution steps

Periodicity of

\frac{cot ( x )}{sin ( x )} : 2 π

Domain of

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

Axis interception points of

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

X Intercepts

: (\frac{π}{2} + 2 πn, 0), (\frac{3 π}{2} + 2 πn, 0)

Asymptotes of

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

Vertical

: x = 2 πn, x = π + 2 πn

Inflection Points of

\frac{cot ( x )}{sin ( x )} : (\frac{π}{2} + 2 πn, 0), (\frac{3 π}{2} + 2 πn, 0)

Popular Examples

f (x) = 2 sin (π x)

f(x)=x^2-16x+16

f (x) = x^{2} - 16 x + 16

f(x)=x^2-16x+24

f (x) = x^{2} - 16 x + 24

f(x)=-0.065x^2+78x+200

f (x) = - 0.065 x^{2} + 78 x + 200

y=-1/2 (x+2)^2+4

y = - \frac{1}{2} (x + 2)^{2} + 4

Frequently Asked Questions (FAQ)

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