Question
Download Solution PDFयदि tan A = \(\frac{2}{3}\) है, तो निम्नलिखित का मान ज्ञात कीजिए।
(5 sin2A - 2 cos2A) ÷ (15 sin2A + 3 cos2A)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
tan A = \(\frac{2}{3}\)
गणना:
tan A = \(\frac{2}{3}\)
⇒ \(\rm\frac{sinA}{cosA}\) = \(\frac{2}{3}\)
इसलिए, (5 sin2A - 2 cos2A) ÷ (15 sin2A + 3 cos2A) = (5 × 22 - 2 × 32) ÷ (15 × 22 + 3 × 32)
⇒ (5 × 4 - 2 × 9) ÷ (15 × 4 + 3 × 9)
⇒ (20 - 18) ÷ (60 + 27)
⇒ 2 ÷ 87
⇒ \(\frac{2}{87}\)
∴ अभीष्ट उत्तर \(\frac{2}{87}\) है।
Last updated on Jul 15, 2025
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