Answer:
The solution is given by,
- 90° < x < [tex]78.69{^\circ}[/tex]
Step-by-step explanation:
According to the question, the inequality is given by,
tan(x) - 3 < 2
⇒tan(x) < 5
⇒ x < [tex]\tan^{-1} (5)[/tex]
[since the function tan(x) is monotonically increasing in the interval
-90° ≤ x ≤ 90° ]
⇒ x < [tex] 78.69{^\circ}[/tex] (approximately)
so, the solution is approximately given by,
- 90° < x < [tex] 78.69{^\circ}[/tex] [since tan(-90°) is undefined]
