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Get Answers to all your Questions
Find period of f(x) = cos(2x/3) - sin(4x/5)
Answers (1)
Given - f(x) = cos(2x/3) − sin(4x/5)
To Find - Period of the function
Solution - For cos(2x/3), period = $\frac{2π}{2/3}= 3π= \frac{6π}{2}$
For sin(4x/5), period = $\frac{2π}{4/5}= \frac{5π}{2}$
Now, take LCM of $\frac{5π}{2}$ and $\frac{6π}{2}$
LCM of 6 and 5 = 30
So, LCM = $\frac{30π}{2}= 15π$
Therefore, The period of f(x) = cos(2x/3) − sin(4x/5) is 15π
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