Which of the following statements is/are true: 1. sin x is a periodic function with period 2π 2. cos x is a periodic function with period 2π

Which of the following statements is/are true: 1. sin x is a periodic function with period 2π 2. cos x is a periodic function with period 2π Correct Answer Both 1 and 2

Concept:

Periodic function:

A function f is said to be periodic function with period p if f(x + p) = f(x) ∀ x.

The period of sin x and cos x is 2π 

Calculation:

Statement 1: sin x is a periodic function with period 2π

As we know that, sin x and cos x are periodic function with period 2π.

So, statement 1 is true.

Statement 2: cos x is a periodic function with period 2π

As we know that, sin x and cos x are periodic function with period 2π.

So, statement 2 is true.

Hence, option C is the right answer.