Question

The value of (3tan10°-tan³10°)/(1-3tan²10°) is equal to

A 1/√3 Correct Answer Incorrect Answer
B √3 Correct Answer Incorrect Answer
C 1 Correct Answer Incorrect Answer
D 2/√3 Correct Answer Incorrect Answer

Solution

tan3θ = (3tan10°-tan³10°)/(1-3tan²10°) Therefore, (3tan10°-tan³10°)/(1-3tan²10°) = tan3 × 10° → tan30° = 1/√3

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