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Chapter 4: Problem 7

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

Short Answer

Expert verified
The period of the function \(y=\tan x\) is \(\pi\) radians or 180潞.

Step by step solution

01

Understanding Tangent function

The tangent function is a periodic function that repeats every \(\pi\) radians or 180潞. This is different compared to sine and cosine functions that repeat every \(2\pi\) radians or 360潞. So, the periodicity of \(tan x\) is \(\pi\) radians.
02

State the period

From the understanding of the Tangent periodicity, it's clear that the period of the function \(y= \tan x\) is \(\pi\) radians or 180潞.

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Most popular questions from this chapter

Graph at least one full period of the function defined by each equation. $$y=2 \cos \frac{3 x}{4}$$

Use a graphing utility to graph each function. $$y=3^{\cos ^{2} x} \cdot 3^{\sin ^{2} x}$$

Use the fundamental trigonometric identities to find the value of the function. Given \(\csc t=\sqrt{2}, 0

If \(g(x)=\sin ^{2} x\) and \(h(x)=\cos ^{2} x,\) find \(g(x)+h(x)\)

Simplify: \(\frac{\pi}{1 / 2}\).
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