Question

If 3 sec² x - 4 = 0, then the value of x (0 < x < 90°)

• A. 45°
• B. 15°
• C. 30°
• D. 60°

Answer 1

Answer:

C. 30°

Solution:

Given:

3 sec² x - 4 = 0

Formula:

sec 30° = 2/√3

Calculation:

3 sec² x - 4 = 0

⇒ sec² x = 4/3

⇒ sec x = 2/√3

⇒ sec x = sec 30°

∴ x = 30°