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Differential Calculus> find the period of f(x)= [sin3x]+|cos6x| ...

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find the period of
f(x)= [sin3x]+|cos6x| please sir give me answer of this question.Sir i am so confused

ankush , 7 Years ago

Grade 12th pass

1 Answers

Arun

Last Activity: 7 Years ago

Dear student

$f(x) = [sin(3x)] + |cos(6x)|$

$f(x) = f_{1}(x) + f_{2}(x)$

$f_{1}(x) = [sin(3x)]$

$= 0, 0\leq x\leq \frac{\pi }{3}$

$= -1, \frac{\pi }{3}\leq x\leq \frac{2\pi }{3}$

Time period of f₁(x):

$\frac{2\pi }{3} = \frac{4\pi }{6}$

$f_{2}(x) = |cos(6x)|$

Time period of f₂(x):

$\frac{\pi }{6}$

Time period of f(x):

(LCM of time period of f₁(x) & f₂(x))/(HCFof time period of f₁(x) & f₂(x))

$\frac{4\pi }{6} = \frac{2\pi }{3}$

Regards

Arun (askIITians forum expert)

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