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The period of f(x)=5 sin 3x-7 sin 8x , is

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The period of f(x)=5 sin 3x-7 sin 8x , is
A. `pi`
B. `2pi`
C. `3pi`
D. `8 pi`
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Correct Answer - B
We have,
Period of ` 5 sin 3x ` is ` (2pi)/(3)` , Period of ` 7 sin 8x` is `(2pi)/(8)=(pi)/(4)`
`:.` Period of `f(x)=("LCM of " 2pi and pi)/("HCF of" 3 and 4)=(2pi)/(1)=2pi`
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