Question
Download Solution PDFA విలువను కనుగొనండి, √3 - 3√3tan 2 A = 3tan A - tan 3 A.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFఇచ్చిన:
√3 - 3√3tan 2 A = 3tan A - tan 3 A
ఉపయోగించిన సూత్రం:
tan 3A = (3tan A - tan3A)/(1 - 3tan2A)
లెక్కింపు:
√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 యొక్క విలువ 20°.
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