Chapter 12.4, Problem 6WE

To determine

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

Answer to Problem 6WE

  $\sin {46}^{\circ }30\text{'}=0.7254$

Explanation of Solution

Given information :

  $\sin {46}^{\circ }30\text{'}$

First we shall convert the minutes into degrees.

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

Therefore $30\text{'}={\left(\frac{30}{60}\right)}^{\circ }={0.50}^{\circ }$

  $\sin {46}^{\circ }30\text{'}=\sin {46.50}^{\circ }$

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

Hence the value is,

  $\sin {46.50}^{\circ }=0.7254$