Question

derivation of sin.................. ​

Answer 1

Step-by-step explanation:

Derivative of sin x

= d/dx (sin x) = d/dx (x - x³/3! + x⁵/5! — …………)

= 1 - 3x²/1.2.3 + 5x⁴/1.2.3.4.5 —…….

= 1 - x²/1.2 + x⁴/1.2.3.4 — …….

= 1 - x²/2! + x⁴/4! — …….

But we know that the series expansion of

cos x = 1 - x²/2! + x⁴/4! — …….

∴Derivative of sin x = cos x (Proved)

Answer 2

Answer:

Solution is in the attachment