Q 39. - Precalculus Enhanced with Graphing Utilities

Question

Find the exact value of each expression. Do not use a calculator.

$4 \sin 90°-3 \tan 180°$

Step-by-Step Solution

Answer

The exact value of$4 \sin 90° 3 \tan 180°=4$

Step 1. Given information

$4 \sin 90°-3 \tan 180°$

Step 2. Solution

$$\begin{gathered} \sin 90°=1 \\ \tan 180°=\frac{\sin 180°}{\cos 180°}=\frac{0}{-1}=0 \\ \tan 180°=0 \\ \mathrm{Putting} \mathrm{the} \mathrm{values} \mathrm{in} \mathrm{the} \mathrm{given} \mathrm{expression} \mathrm{we} \mathrm{get}, \\ (4\times 1)-(3\times 0)=4 \\ \mathrm{So}, \\ 4 \sin 90° 3 \tan 180°=4 \end{gathered}$$