Find the relationship between arcsin[cos(arcsin x)] and arccos[sin(arccos x)].
cos(arcsin(x)) and sin(arccos(x)) are each sqrt(1x^2), in the domain of x between 1 and 1, and thus always nonnegative.
arcsin and arccos of the same value always produce complementary angles, so the two formulae under consideration produce complementary answers, adding to 90 if done in degrees, or pi/2 if done in radians. The domain remains 1 to 1, inclusive.
Edited on September 19, 2008, 1:07 pm

Posted by Charlie
on 20080919 13:06:13 