CBSE Class 11-science Answered
Please solve the question
![question image](https://images.topperlearning.com/topper/new-ate/67643992336850IMG20180622WA0026.jpg)
Asked by vikasg13.hardware | 22 Jun, 2018, 21:47: PM
f(x) = sin(x/3) + cos (3x/10)
We have to find the period of f(x)
sin and cos are periodic functions of period ![begin mathsize 16px style fraction numerator 2 straight pi over denominator open vertical bar straight a close vertical bar end fraction end style](https://images.topperlearning.com/topper/tinymce/cache/01abe1b456158894821681ff64a42c0f.png)
![begin mathsize 16px style fraction numerator 2 straight pi over denominator open vertical bar straight a close vertical bar end fraction end style](https://images.topperlearning.com/topper/tinymce/cache/01abe1b456158894821681ff64a42c0f.png)
period of sin (x/3) is 6∏
period of cos(3x/10) is 20∏/3
LCM of 6∏ and 20∏/3 is 60∏.
Period of f(x) is 60∏.
Hence, n = 60.
Answered by Sneha shidid | 26 Jun, 2018, 11:24: AM
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