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

A45°

B15°

C30°

D60°

Answer:

C. 30°

Read Explanation:

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°


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