Question
Download Solution PDFयदि \(sin \ x = \frac{\sqrt 5}{3}\) और 0 < x < π/2 तो cos 2x का मान ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFअवधारणा:
cos 2x = cos2 x - sin2 x = 1 - 2 sin2 x
गणना:
दिया गया है: \(sin \ x = \frac{\sqrt 5}{3}\) और 0 < x < π/2
जैसा कि हम जानते हैं कि, cos 2x = cos2 x - sin2 x = 1 - 2 sin2 x
⇒ cos 2x = 1 - 2 × (5/9) = - 1/9
अत: सही विकल्प 1 है
Last updated on Jun 20, 2025
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