What is the periodicity of f(x)=sin(2x)-cos(5x) ?

The periodicity of f(x)=sin(2x)-cos(5x) is 2pi

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

periodicity of f(x)=sin(2x)-cos(5x)

periodicity

f (x) = sin (2 x) - cos (5 x)

2 π

Solution steps

The compound periodicity of the sum of periodic functions is the least common multiplier of the periods

sin (2 x), cos (5 x)

Periodicity of

sin (2 x) : π

Periodicity of

cos (5 x) : \frac{2 π}{5}

Combine periods:

π, \frac{2 π}{5}

= 2 π

f (x) = \frac{20 ( 2 - x )}{( x + 4 ) ^{2}}

7 x + 4 y = 1

f (x) = \frac{6 x}{x ^{2} + 7 x + 12}

x^{3} + 3 x^{2} + 3 x + 1

tan (\frac{( 2 x - 1 )}{3})

What is the periodicity of f(x)=sin(2x)-cos(5x) ?
The periodicity of f(x)=sin(2x)-cos(5x) is 2pi