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

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

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

periodicity

f (x) = \frac{cos ( 2 x )}{cos ( x ) - sin ( x )}

2 π

Solution steps

\frac{cos ( 2 x )}{cos ( x ) - sin ( x )}

is composed of the following functions and periods:

cos (2 x)

with periodicity of

\frac{2 π}{2}

The compound periodicity is:

= 2 π

f (x) = 2 x^{2} + 8 x + 4

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

f (x) = - x^{2} + 2 x + 15

y = (x + 3) (x - 3)

f (x) = 9 + x

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