Question

Expand sin^-1 (m sinx) in in ascending power of x.​

Answer 1

Answer:

1sinx

I recall a series 1,x,x22,x36,…,xnn!…

And a summation where the signs of each element alternate, with two such summations and each containing every second element. The odd ones correspond to sin and the even ones cosine. I check by extracting derivative a few times. I remember now.

sinx=x−x36+x5120−…