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Chapter 4: Problem 80

Use a calculator to evaluate the trigonometric function. Round your answer to four decimal places. (Be sure the calculator is in the correct mode.) $$\cot 178^{\circ}$$

Short Answer

Expert verified
The exact value depends on the specific calculator used, but it should be approximately \(-0.0349\) after rounding to four decimal places.

Step by step solution

01

Switch your calculator to Degree Mode

Before beginning, ensure your calculator is in the correct mode. Most scientific calculators have a function to switch between degrees and radians. Make sure it is set to degrees since the input angle is given in degrees.
02

Input the Value

Type '\(\cot 178\)' into the calculator. The cotangent function may not be directly available on your calculator model. If this is the case, remember that \(\cot x = \frac{1}{\tan x}\). So you can compute \(\cot 178\) by evaluating \( \frac{1}{{\tan{178}}}\).
03

Get the Answer and Round It

Observe the displayed result on your calculator. That's the cotangent value of the given angle. Since the task requires the answer to be rounded to four decimal places, make sure to do so.

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