Question

state and prove De movre's theorem for a rational index.​

Answer 1

$\huge\bold\red{HELLO!}$$<marquee>____²⁰⁰⁵★彡[BATALION043]</marquee>$

Demoivre's Theorem – Integral and Rational Indices. If n is a rational number, then one of the values of (cosθ + i sinθ)ⁿ is cos nθ + i sinnθ. (ii) (cosθ + i sinθ)⁻ⁿ = cos (-n)θ + i sin(-n)θ = cos nθ – i sinnθ provided 'n' is an integer. ... Provided 'n' is an integer.

$<marquee scrollamount = 500>ItzHarsh★</p><p><marquee>$