What is the exact value of the expression #sin^(-1) (sin^(-1)(-pi/3))# ?

1 Answer
Mar 14, 2018

Answer:

Read below.

Explanation:

For our situation of #sin^-1(sin^-1(-pi/3))#, we are asking ourselves: #"In our unit circle definition, what angle gives us the hight of"# #-pi/3?#

Just note here that #-pi/3~~-1.0471975511965976#

The maximum height a point on the unit circle can maintain is #1#. (Similarly, the minimum is #-1#).

No angle value can give you a value less than #-1#.

Therefore, no angle satisfies our requirement.