Question

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

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

Short answer

The value of the given expression is 0.

Step-by-step solution

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

$$\begin{gathered} \mathrm{tan\pi }\&\mathrm{sin\pi }bothare0. \\ thereforetheentireexpressionis0. \end{gathered}$$