यदि अंतरण का अंतराल 1 है,तो Δ sin 4 x का मान क्या होगा

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AAI ATC Junior Executive 2018 Official Paper (Shift 3)
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  1. 2(sin 2) (cos 2 (2x + 1))
  2. 2(sin 2) (sin 2 (x + 1))
  3. 2(cos 4 ) (sin 2 (x + 2))
  4. 2(sin 2) (cos 2 (2x - 1))

Answer (Detailed Solution Below)

Option 1 : 2(sin 2) (cos 2 (2x + 1))
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Detailed Solution

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Δ अग्रांतक संकारक कहा जाता है।

हम जानते हैं , Δf(x) = f(x + h) – f(x)

जहाँ, h =अंतरण का अंतराल = 1 (दिया गया है)

∴ Δsin (4x) = sin (4 (x + 1)) – sin 4x

∵ 

= 2 cos (2 (2x + 1)) . sin 2

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