First slide

Extreme values and Periodicity of Trigonometric functions

Question

$Period of the function |\sin^{3} \frac{x}{2}| + |\cos^{5} \frac{x}{5}| is$

Moderate

A

$2 π$
B

$10 π$
C

$8 π$
D

$5 π$

Solution

$\begin{array}{l} Period of \sin x = 2 π \Rightarrow period of \sin^{3} x = 2 π \\ period of |\sin^{3} x| = π \Rightarrow period of |\sin^{3} \frac{x}{2}| = 2 π \\ period of \cos^{5} x = 2 π \Rightarrow period of |\cos^{5} x| = π \\ \Rightarrow period of \cos^{5} \frac{x}{5} ∣ = 5 π \\ The required period is LCM of 2 π and 5 π is 10 π \end{array}$

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