Chapter 7, Problem 9CT

To determine

The solution of ${\tan }^{-1}3$ using the calculator. Express the answer in radian rounded to two decimal places.

Answer to Problem 9CT

Solution:

The solution of ${\tan }^{-1}3$ using the calculator is $1.25$.

Explanation of Solution

Given information:

The expression is ${\tan }^{-1}3$.

Explanation:

Use the steps below to find the solution using the calculator. First, set the calculator to radian mode.

Step I: Press the ON key.

Step II: Press the SHIFT or $2^{\text{nd}}$ key.

Step III: Press the “tan” on the same calculator.

Step IV: Enter $3$ then complete the parenthesis.

Step V: Press the enter button.

The screen shows the answer $1.249045772$.

Round $1.249045772$ to two decimal places to get $1.25$

Therefore, the solution of ${\tan }^{-1}3$ using a calculator is $1.25$ radian.