Question

fundamental period of cos2x is​

Answer 1

Given,

A trigonometric equation cos2x

To Find,

The fundamental period of cos2x

Solution,

The period of cos2x can be calculated by the property of functions that is

If a function f(x) has T as its period then the period of function f(ax) will be T/|a|.

Now, the period of cos2x = 2π

So, the period of the cos2x will be 2π/2 = π

Hence, the period of cos2x will be π.

Answer 2

Concept

In a triangle, the cos function (or cosine function) is the ratio of the neighbouring side to the hypotenuse. The cosine function is the complement of sine(co+sine), and it is one of the three major trigonometric functions.

Given

cos2x

Find

We are asked to find the fundamental period of cos2x

Solution

Period would be $\frac{2\pi }{2}$ or $\pi$.

Have a look at the graph.