The period of the function fx-3tanx3-2-

Given: nbsp;f(x)=3tan(x3+π2) Now, consider a function g(x)=tan x ⇒ f(x)=ag(bx+c), where a=3, b=13, c=π2 Now, period of g(x) is T=π Thus, Period of f(x) will ...

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Standard XII

Mathematics

Point of Inflection

The period of...

Question

The period of the function $f (x) = 3 tan (\frac{x}{3} + \frac{π}{2}) =$

2 π

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3 π

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\frac{π}{3}

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Solution

The correct option is B $3 π$
Given: $f (x) = 3 tan (\frac{x}{3} + \frac{π}{2})$

Now, consider a function $g (x) = tan x$
$\Rightarrow f (x) = a g (b x + c),$ where $a = 3, b = \frac{1}{3}, c = \frac{π}{2}$
Now, period of $g (x)$ is $T = π$
Thus, Period of $f (x)$ will be $\frac{T}{| b |} = \frac{π}{1 / 3} = 3 π$

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The period of the function f(x)=3tan(x3+π2)=

The correct option is B 3πGiven: f(x)=3tan(x3+π2) Now, consider a function g(x)=tanx ⇒f(x)=ag(bx+c), where a=3,b=13,c=π2 Now, period of g(x) is T=π Thus, Period of f(x) will be T|b|=π1/3=3π

The period of the function $f (x) = 3 tan (\frac{x}{3} + \frac{π}{2}) =$