Question

The Period of F(X)=COS(X)  is​

Answer 1

ANSWER

Explanation - I :

f(x)=cosx

2

as, x

2

≥0

For periodic function graph should be plotted on both sides of Y-axis.

But x

2

<0 cannot happen, so that cosx

2

is non periodic function.

Explanation - II :

For periodic function f(x)

f(x+T)=f(x) [T is period of f(x)]

Let f(x)=cosx

2

∴cos(x+T)

2

=cos(x)

2

⇒(x

2

+T

2

+2xT)



=cos(x)

2

not possible

Period of cosx

2

does not exist.

Step-by-step explanation:

2π

The period of a periodic function is the interval of x-values on which the cycle of the graph that's repeated in both directions lies. Therefore, in the case of the basic cosine function, f(x) = cos(x), the period is 2π.