Question
Download Solution PDFनिम्नलिखित को हल कीजिए:
sin 2x + 2 sin 4x + sin 6x
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
sin 2x + 2 sin 4x + sin 6x
प्रयुक्त सूत्र:
sin C + sin D = 2 × sin (C + D)/2 × cos (C - D)/2
cos 2θ = (2 × cos2 θ - 1)
गणना:
sin 6x + sin 2x + 2 sin 4x
⇒ 2 × sin (6x + 2x)/2 × cos (6x - 2x)/2 + 2 sin 4x
⇒ 2 × sin 4x × cos 2x + 2 sin 4x
⇒ 2 × sin 4x (cos 2x + 1)
⇒ 2 × sin 4x {(2 × cos2x - 1) + 1) }
⇒ (2 × sin 4x) × (2 × cos2 x)
⇒ 4 cos2 × sin 4x
∴ सही उत्तर 4 cos2 × sin 4x है।
Last updated on Jun 11, 2025
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