/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 49 Evaluate the trigonometric funct... [FREE SOLUTION] | 91影视

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Chapter 5: Problem 49

Evaluate the trigonometric function of the quadrant angle, if possible. $$\cot \pi$$

Short Answer

Expert verified
The value of \(\cot \pi\) is undefined.

Step by step solution

01

Recognize The Problem

We need to find the value of \(\cot \pi\). Remember that the cotangent function is undefined at integral multiples of \(\pi\).
02

Apply The Knowledge Of Trigonometric Functions

We know that cotangent is the reciprocal of the tangent function. The tangent, and thus cotangent, of an angle depends on the quadrant in which the terminal side of the angle is located. In this case, for an angle of \(\pi\) (which is equal to 180 degrees), the terminal side is along the negative x-axis. The tangent of this angle is 0, so the cotangent - that is the reciprocal - will be undefined because we cannot divide by 0.
03

Evaluate The Function

Therefore, the value of \(\cot \pi\) is undefined.

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