Q. 9 - Precalculus Enhanced with Graphing Utilities

Question

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

$\mathrm{tan\pi }+\mathrm{sin\pi }$

Step-by-Step Solution

Answer

The value of the given expression is 0.

Step 1. Given

Given trigonometric function

$\mathrm{tan\pi }+\mathrm{sin\pi }$

Step 2. Concept

We will use standard formula of  $\sin \theta$ and $\cos \theta$ at different angles for calculating the final result of given expression.

Step 3. Calculation

As we know 

$$\begin{gathered} \mathrm{tan\pi } \& \mathrm{sin\pi } both are 0. \\ therefore the entire expression is 0. \end{gathered}$$