Question

Use the graphing calculator to approximate the solution of tan(x)−3<2 over −90° ≤ x ≤ 90°. Round to the nearest hundredth of a degree. x<__°

Answer 1

Answer:

The solution is given by,

- 90° < x < $78.69{^\circ}$

Step-by-step explanation:

According to the question, the inequality is given by,

tan(x) - 3 < 2

⇒tan(x) < 5

⇒ x < $\tan^{-1} (5)$

[since the function tan(x) is monotonically increasing in the interval

-90° ≤ x ≤ 90° ]

⇒ x < $78.69{^\circ}$ (approximately)

so, the solution is approximately given by,

- 90° < x < $78.69{^\circ}$ [since tan(-90°) is undefined]