I was wondering why sin^2(x) = (sin(x))^2 but sin^-1(x) ≠ (sin(x))^-1 ?
Trig functions powers Watch
- Thread Starter
- 07-10-2016 17:24
- 07-10-2016 17:36
It's really just because of unfortunate notation.
sin-1(x) the way you know it means "the inverse of sine" meaning that if sin(a) = b then sin-1(b) = a.
unfortunately this clashes with when we say sin^2(x) meaning sin(x)^2
To avoid this you can use arcsin, arccos and arctan (short for arcsine, arccosine and arctangent) meaning "the inverse of sine..." etc
To write 1/sinx I would either write just that (1/sinx) or sin(x)^-1 to avoid confusion.Last edited by anony-mousse; 07-10-2016 at 17:38. Reason: corrected long form of arcsin, arccos and arctan