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July 5, 2015

Homework Help: Inverses

Posted by Dennis on Monday, April 21, 2008 at 9:59am.

Problem:
cos[arccos(-sqrt3/2)-arcsin(-1/2)]

This is what I have:
cos [(5pi/6)-(11pi/6)]
cos (-6pi/6) or -pi
giving an answer of -1

What I am wondering is should I use the (11pi/6) or should I use (-pi/6) because of the restrictions on arcsin x (-pi/2)<=x<=(pi/2)

Thank you in advance.

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