The period of the function $$f\left( x \right) = 3\sin \frac{{\pi x}}{3} + 4\cos \frac{{\pi x}}{4}$$ is :
A.
6
B.
24
C.
8
D.
$$2\pi $$
Answer :
24
Solution :
The period of $$\sin \frac{{\pi x}}{3}$$ is $$\frac{{2\pi }}{{\frac{\pi }{3}}},$$ i.e., 6. The period of $$\cos \frac{{\pi x}}{4}$$ is $$\frac{{2\pi }}{{\frac{\pi }{4}}},$$ i.e., 8.
LCM of 6 and 8 is 24. So, the period of $$f\left( x \right) = 24.$$
Releted MCQ Question on Calculus >> Function
Releted Question 1
Let $$R$$ be the set of real numbers. If $$f:R \to R$$ is a function defined by $$f\left( x \right) = {x^2},$$ then $$f$$ is: