What is the periodicity of f(x)=sin(x/2+pi/6)+1 ?

The periodicity of f(x)=sin(x/2+pi/6)+1 is 4pi

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periodicity of f(x)=sin(x/2+pi/6)+1

periodicity

f (x) = sin (\frac{x}{2} + \frac{π}{6}) + 1

4 π

Solution steps

Periodicity of

a \cdot sin (b x + c) + d = \frac{periodicity of sin ( x )}{∣ b ∣}

Periodicity of

sin (x)

2 π

= \frac{2 π}{\frac{1}{2}}

Simplify

= 4 π

\frac{x ^{2} + 2}{x - 2}

f (x) = \frac{( x - 1 ) ( x + 3 )}{x ^{2} - 4}

2 x^{6} - 3 x^{5}

f (x) = 2 sin (\frac{π}{3} x + π) - 4

(x - 1) 2

What is the periodicity of f(x)=sin(x/2+pi/6)+1 ?
The periodicity of f(x)=sin(x/2+pi/6)+1 is 4pi