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Chapter 4: Problem 13

State the period of each function. $$y=-\tan 3 x$$

Short Answer

Expert verified
The period of the function \(y = -\tan(3x)\) is \( \frac {\pi}{3}\).

Step by step solution

01

Identify the form of the function

The given function is of the form \(y=\tan(Bx)\), where \(B\) is the coefficient of \(x\).
02

Determining the coefficient B

From the function \(y=-\tan(3x)\), it can be seen that \(B=3\).
03

Calculating the Period

Applying the formula for the period of a tangent function \( \frac {\pi}{|B|}\), the period of function \(y = -\tan (3x)\) is \( \frac {\pi}{3}\).

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