Question
Download Solution PDFयदि अंतरण का अंतराल 1 है,तो Δ sin 4 x का मान क्या होगा
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFΔ 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
∵ \(sinC - sinD = 2\cos \left( {\frac{{C + D}}{2}} \right).\sin \left( {\frac{{C - D}}{2}} \right)\)
= \(2\cos \left( {\frac{{4\left( {x + 1} \right) + 4x}}{2}} \right).\sin \left( {\frac{{4\left( {x + 1} \right) - 4x}}{2}} \right)\)
= 2 cos (2 (2x + 1)) . sin 2
Last updated on May 26, 2025
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