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Maths-

General

Easy

Question

The cotangent function whose period $3 pi$ is

cot 2x
cot 4x
$\cot \frac{3 x}{2}$
$\cot \frac{x}{3}$

hint Hint:

In this question, we have to find the cotangent function whose period $3 pi$ . As we know that the period of cot (k x) is $fraction numerator straight pi over denominator open vertical bar k close vertical bar end fraction$ , so, we can find the required cotangent function.

The correct answer is: $cot space x over 3$

Period of cot (k x) = $fraction numerator straight pi over denominator open vertical bar k close vertical bar end fraction$
given, $fraction numerator straight pi over denominator open vertical bar k close vertical bar end fraction equals 3 straight pi space rightwards double arrow open vertical bar straight k close vertical bar equals 1 third$
So, cotangent function whose period is $3 straight pi space is space cot straight x over 3$ .

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