Question
Download Solution PDF√3 - 3√3tan2A = 3tan A - tan3A எனில் A இன் மதிப்பைக் கண்டறியவும்
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFகொடுக்கப்பட்டது:
√3 - 3√3tan2A = 3tan A - tan3A
பயன்படுத்தப்படும் சூத்திரம்:
tan 3A = (3tan A - tan3A)/(1 - 3tan2A)
கணக்கீடு:
√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 இன் மதிப்பு 20° ஆகும்.
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