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

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

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

periodicity

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

2 π

Solution steps

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

sin (x), 2 cos (x)

Periodicity of

sin (x) : 2 π

Periodicity of

2 cos (x) : 2 π

Combine periods:

2 π, 2 π

= 2 π

f (x) = x^{3} + 5 x^{2} - 17 x - 21

P (a) = a^{5} + a + 1

F (x) = x^{2} - 2 x + 1

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

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