What is the period of f x -2 tan x -3 -A- -B- - - 2C- 2 -D- -3

The correct option is A π We know, if f(x) has a period T. Then a f(bx) + c will have period as T/b. So the period is only affected by the multiple of x. ...

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Standard XII

Mathematics

Properties of Periodic Function

What is the p...

Question

What is the period of f(x)= 2tanx +3 ?

2π

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π/2

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π+3

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Solution

The correct option is B
π

We know, if f(x) has a period T. Then a f(bx) + c will have period as $\frac{T}{b}$ . So the period is only affected by the multiple of x.

In the question given, f(x) = 2 tan(x) +3

Multiple of x is 1. Hence period of the given function will be same as the period of tan(x) which is nothing but $π$ .

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