Chapter 12.4, Problem 7ST

a.

To determine

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

Answer to Problem 7ST

  $\cos {36}^{\circ }42\text{'}=0.8018$

Explanation of Solution

Given information :

  $\cos {36}^{\circ }42\text{'}$

First we shall convert the minutes into degrees.

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

Therefore $42\text{'}={\left(\frac{42}{60}\right)}^{\circ }={0.70}^{\circ }$

  $\cos {36}^{\circ }42\text{'}=\cos {36.70}^{\circ }$

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

Hence the value is,

  $\cos {36.70}^{\circ }=0.8018$

b.

To determine

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

Answer to Problem 7ST

  $\csc {64.33}^{\circ }=1.110$

Explanation of Solution

Given information :

  $\csc {64.33}^{\circ }$

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

Hence the value is,

  $\csc {64.33}^{\circ }=1.110$