First slide

Extreme values and Periodicity of Trigonometric functions

Question

$The period of 5 \sin \frac{π x}{4} + 4 \sin \frac{π x}{3} + \cos \frac{π x}{2}$

Easy

A

12
B

24
C

36
D

6

Solution

Concept: Period of $\sin k x i s \frac{2 π}{|k|}$
$Period Cos k x is \frac{2 π}{| k |}$
$\begin{array}{l} 5 \sin \frac{π x}{4} + 4 \sin \frac{π x}{3} + \cos \frac{π x}{2} \\ ↓ ↓ ↓ \\ \frac{2 π}{\frac{π}{4}} \frac{2 π}{\frac{π}{3}} \frac{2 π}{\frac{π}{2}} \\ = 8 6 4 \end{array}$
L.C.M =24

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App