What is the periodicity of f(x)=3tan(2/3 x) ?

The periodicity of f(x)=3tan(2/3 x) is (3pi)/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

periodicity of f(x)=3tan(2/3 x)

periodicity

f (x) = 3 tan (\frac{2}{3} x)

\frac{3 π}{2}

Decimal

4.71238 \dots

Solution steps

Periodicity of

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

Periodicity of

tan (x)

π

= \frac{π}{\frac{2}{3}}

Simplify

= \frac{3 π}{2}

f (x) = \frac{( x - 7 )}{( x + 3 )}

f (x) = 3 \frac{- x - 3}{2}

f (x) = \frac{- 16 + n}{4}

f (x) = - x - 7

y = \frac{3}{4} x - 3

What is the periodicity of f(x)=3tan(2/3 x) ?
The periodicity of f(x)=3tan(2/3 x) is (3pi)/2