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Popular >

f(θ)=(sin(4θ))/(1+cos(4θ))

Solution

f (θ) = \frac{sin ( 4 θ )}{1 + cos ( 4 θ )}

Solution

Period : \frac{π}{2}

Domain : \frac{π}{2} n \leq θ < \frac{π}{4} + \frac{π}{2} n or \frac{π}{4} + \frac{π}{2} n < θ < \frac{π}{2} + \frac{π}{2} n

X Intercepts : (\frac{πn}{2}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : None

+1

Interval Notation

Domain : [\frac{π}{2} n, \frac{π}{4} + \frac{π}{2} n) \cup (\frac{π}{4} + \frac{π}{2} n, \frac{π}{2} + \frac{π}{2} n)

Solution steps

Periodicity of

\frac{sin ( 4 θ )}{1 + cos ( 4 θ )} : \frac{π}{2}

Domain of

\frac{sin ( 4 θ )}{1 + cos ( 4 θ )} : \frac{π}{2} n \leq θ < \frac{π}{4} + \frac{π}{2} n or \frac{π}{4} + \frac{π}{2} n < θ < \frac{π}{2} + \frac{π}{2} n

Axis interception points of

\frac{sin ( 4 θ )}{1 + cos ( 4 θ )} :

X Intercepts

: (\frac{πn}{2}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{sin ( 4 θ )}{1 + cos ( 4 θ )} :

None

Extreme Points of

\frac{sin ( 4 θ )}{1 + cos ( 4 θ )} :

None

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Frequently Asked Questions (FAQ)

What is the f(θ)=(sin(4θ))/(1+cos(4θ)) ?
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