Chapter 12.4, Problem 9OE

To determine

To determine the value of given functions to four significant digits.

Answer to Problem 9OE

  $\cot {73}^{\circ }50\text{'}=0.2900$

Explanation of Solution

Given information :

  $\cot {73}^{\circ }50\text{'}$

First we shall convert the minutes into degrees.

We know that $1\text{'}={\left(\frac{1}{60}\right)}^{\circ }$

Therefore $50\text{'}={\left(\frac{50}{60}\right)}^{\circ }={0.83}^{\circ }$

  $\cot {73}^{\circ }50\text{'}=\cot {73.83}^{\circ }$

Here we shall use the calculator to find the value of the given function.

Hence the value is,

  $\cot {73.83}^{\circ }=0.2900$