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

The f(θ)=(sin(θ)+tan(θ))/(1+sec(θ)) is

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f(θ)=(sin(θ)+tan(θ))/(1+sec(θ))

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

Period : 2 π

Domain : 2 πn \leq θ < \frac{π}{2} + 2 πn or \frac{π}{2} + 2 πn < θ < π + 2 πn or π + 2 πn < θ < \frac{3 π}{2} + 2 πn or \frac{3 π}{2} + 2 πn < θ < 2 π + 2 πn

Range : - 1 < f (θ) < 1

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

Asymptotes : None

Extreme Points : None

Interval Notation

Domain : [2 πn, \frac{π}{2} + 2 πn) \cup (\frac{π}{2} + 2 πn, π + 2 πn) \cup (π + 2 πn, \frac{3 π}{2} + 2 πn) \cup (\frac{3 π}{2} + 2 πn, 2 π + 2 πn)

Range : (- 1, 1)

Solution steps

Periodicity of

\frac{sin ( θ ) + tan ( θ )}{1 + sec ( θ )} : 2 π

Domain of

\frac{sin ( θ ) + tan ( θ )}{1 + sec ( θ )} : 2 πn \leq θ < \frac{π}{2} + 2 πn or \frac{π}{2} + 2 πn < θ < π + 2 πn or π + 2 πn < θ < \frac{3 π}{2} + 2 πn or \frac{3 π}{2} + 2 πn < θ < 2 π + 2 πn

Range of

\frac{sin ( θ ) + tan ( θ )}{1 + sec ( θ )} : - 1 < f (θ) < 1

Axis interception points of

\frac{sin ( θ ) + tan ( θ )}{1 + sec ( θ )} :

X Intercepts

: (2 πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{sin ( θ ) + tan ( θ )}{1 + sec ( θ )} :

None

Extreme Points of

\frac{sin ( θ ) + tan ( θ )}{1 + sec ( θ )} :

None

f (x) = \frac{2 sin ( 2 x )}{x}

y = c e^{- x}

y = \frac{x ^{3}}{2 ( x + 1 ) ^{2}}

y = x^{3} - 27

f (x) = \frac{1}{2 sin ( x )}

What is the f(θ)=(sin(θ)+tan(θ))/(1+sec(θ)) ?
The f(θ)=(sin(θ)+tan(θ))/(1+sec(θ)) is