What is the periodicity of f(x)=sin((6pix)/7) ?

The periodicity of f(x)=sin((6pix)/7) is 7/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

periodicity of f(x)=sin((6pix)/7)

periodicity

f (x) = sin (\frac{6 π x}{7})

\frac{7}{3}

Decimal

2.33333 \dots

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{6 π}{7}}

Simplify

= \frac{7}{3}

What is the periodicity of f(x)=sin((6pix)/7) ?
The periodicity of f(x)=sin((6pix)/7) is 7/3