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Find the value of A, if √3 - 3√3tan2A = 3tan A - tan3A.1. 45° 2. 15° 3. 20° 4. 30° |
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Answer» Correct Answer - Option 3 : 20° Given: √3 - 3√3tan2A = 3tan A - tan3A Formula used: tan 3A = (3tan A - tan3A)/(1 - 3tan2A) Calculation: √3 - 3√3tan2A = 3tan A - tan3A ⇒ √3(1 - 3tan2A) = 3tan A - tan3A ⇒ √3 = (3tan A - tan3A)/(1 - 3tan2A) ⇒ √3 = tan 3A ⇒ tan 60° = tan 3A ⇒ 3A = 60° ⇒ A = 60°/3 = 20° ∴ The value of A is 20°. |
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