Chapter 8.6, Problem 14CE

To determine

To check: whether sin 1° is larger than tan 1° or vice − versa.

Answer to Problem 14CE

The value tan1° is greater than sin1°.

Explanation of Solution

Given information:

Values of both sin 1° and tan 1° is given as 0.0175.

 

The value of sin 1° and tan 1° are both equal to 0.0175, which is an approximate value. The more accurate values are:

  $\begin{array}{l}\sin 1°=0.0174524,\text{ and}\\ \tan 1°=\mathrm{0.0174551.}\end{array}$

Hence, the value of tan1° is greater than sin1°.