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Popular >

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

Solution

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

Solution

Period : 2 π

Domain : 2 πn \leq 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

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

Asymptotes : None

Inflection Points : (2 πn, 0)

+1

Interval Notation

Solution steps

Periodicity of

\frac{sin ( x )}{sec ( x ) + 1} : 2 π

Domain of

\frac{sin ( x )}{sec ( x ) + 1} : 2 πn \leq 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

Axis interception points of

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

X Intercepts

: (2 πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

None

Inflection Points of

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

Graph

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