What is the f(x)=tan(x/2)+cos(x)tan(x/2) ?

The f(x)=tan(x/2)+cos(x)tan(x/2) is

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f(x)=tan(x/2)+cos(x)tan(x/2)

f (x) = tan (\frac{x}{2}) + cos (x) tan (\frac{x}{2})

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 : None

Solution steps

Periodicity of

tan (\frac{x}{2}) + cos (x) tan (\frac{x}{2}) : 2 π

Domain of

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

Axis interception points of

tan (\frac{x}{2}) + cos (x) tan (\frac{x}{2}) :

X Intercepts

: (2 πn, 0),

Y Intercepts

: (0, 0)

Asymptotes of

tan (\frac{x}{2}) + cos (x) tan (\frac{x}{2}) :

None

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