Problem 49 - Algebra and Trigonometry Real Mathematics, Real People

Question

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

Step-by-Step Solution

Answer

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

Step 1: Recognize The Problem

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

Step 2: 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.

Step 3: Evaluate The Function

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