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Popular >

f(θ)=(sin(θ))/(1+cos(θ))

Solution

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

Solution

Period : 2 π

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

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

Asymptotes : Vertical θ = 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 ( θ )}{1 + cos ( θ )} : 2 π

Domain of

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

Axis interception points of

\frac{sin ( θ )}{1 + cos ( θ )} :

X Intercepts

: (2 πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{sin ( θ )}{1 + cos ( θ )} :

Vertical

: θ = π + 2 πn

Inflection Points of

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

Popular Examples

derivative of 2x^3+15x^2-84x+10

\frac{d}{d x} (2 x^{3} + 15 x^{2} - 84 x + 10)

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30 e^{x^{2}} x

limit as x approaches 0+of xn(x)

x \to 0 + lim (x n (x))

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\frac{d}{d x} ((π - 2 x)^{2})

integral of 1/(sqrt(t^2-12t+45))

\int \frac{1}{t ^{2} - 12 t + 45} d t

Frequently Asked Questions (FAQ)

What is the f(θ)=(sin(θ))/(1+cos(θ)) ?
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