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Popular >

f(x)=(sin(x))/((1+cos(x)))

Solution

f (x) = \frac{sin ( x )}{( 1 + cos ( x ) )}

Solution

Period : 2 π

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

X Intercepts : (2 πn, 0), Y Intercepts : (0, 0)

Asymptotes : Vertical x = π + 2 πn

Inflection Points : (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{sin ( x )}{1 + cos ( x )} : 2 π

Domain of

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

Axis interception points of

\frac{sin ( x )}{1 + cos ( x )} :

X Intercepts

: (2 πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{sin ( x )}{1 + cos ( x )} :

Vertical

: x = π + 2 πn

Inflection Points of

\frac{sin ( x )}{1 + cos ( x )} : (2 πn, 0)

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Frequently Asked Questions (FAQ)

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