Question

The period of the function $f(x)$ is.

• A. 4
• B. 6
• C. 12
• D. 24

Answer 1

Answer: (A)

4

Answer 2

Period of $\sin \left( \frac { \pi x } { 2 } \right) = \frac { 2 \pi } { \pi / 2 } = 4$

Period of $\cos \left( \frac { \pi x } { 2 } \right) = \frac { 2 \pi } { \pi / 2 } = 4$

$\therefore$Period of $\sin \frac { \pi x } { 2 } + \cos \frac { \pi x } { 2 } =$ L.C.M. of (4, 4)=4.