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

The answer is 78.69

Explanation:

Answer 2

The solution is given by,

- 90° < x <
`78.69{^\circ}`

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]