Question
Download Solution PDFयदि √3 - 3√3tan2A = 3tan A - tan3A है, तो A का मान ज्ञात कीजिये।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
√3 - 3√3tan2 A = 3tan A - tan3 A
प्रयुक्त सूत्र:
tan 3A = (3tan A - tan3A)/(1 - 3tan2A)
गणना:
√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°
∴ A का मान 20° है।
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