Determine if the following answers are true or false. If false, justify why it’s not true and find the correct answer(s). If true, justify why they are correct. You must show yo…

Question

asked May 21, 2023 191k views

1 Answer

Tomsgd · Answer 1 · 2023-05-25T09:04:47+0000

Given the following inequality

$\begin{gathered} \tan ^2(x)>\sqrt[]{5} \\ x\in\lbrack-\pi,\pi\rbrack \\ \end{gathered}$

We need to check if x=0.981 is a solution.

This value is inside of the range, then, we just need to evaluate.

$\tan ^2(0.981)\approx2.2325919107$

Calculating the square root of 5:

$\sqrt[]{5}\approx2.2360679775$

From this, we know that the statement is false, because

$\tan ^2(0.981)<\sqrt[]{5}$