Q 33. - Precalculus Enhanced with Graphing Utilities

Question

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

$\sin 90°+\tan 45°$

Step-by-Step Solution

Answer

The exact value of$\sin 90°+\tan 45°=2$

Step 1. Given information

$\sin 90°+\tan 45°$

Step 2. Solution

$$\begin{gathered} \sin 90°=1 \\ \tan 45°=1 \\ \mathrm{Putting} \mathrm{the} \mathrm{values} \mathrm{in} \mathrm{the} \mathrm{given} \mathrm{expression} \mathrm{we} \mathrm{get}, \\ 1+1=2 \\ \mathrm{So}, \\ \sin 90°+\tan 45°=2 \end{gathered}$$