Chapter 8, Problem 3RE

In Problems 3-5, find the exact value of each expression. Do not use a calculator.

$\cos {62}^{\circ }-\sin {28}^{\circ }$

To determine

To find: The value of $\text{cos}62° - \text{sin}28°$.

Answer to Problem 3RE

Solution:

0

Explanation of Solution

Given:

$\text{cos}62° - \text{sin}28°$

Formula used:

$\text{sin}A = \text{cos}\left(90° - A\right)$

Calculation:

$\text{cos}62° - \text{sin}28°$

$= \text{cos}62° - \text{cos}\left(90° - 28°\right)$

$= \text{cos}62° - \text{cos}62°$

$= 0$