Question #87408
The expression cos-1 (3/5) has an infinite number of values. True or False? http://prntscr.com/n65c1h
1
Expert's answer
2019-04-11T10:49:44-0400

Trigonometric functions are periodic, so their inverse functions are unambiguous. Unambiguousness is obtained by the considering of the range of principal values ([0,π][0, \pi] for cos1\cos ^{-1}). So expression cos1(3/5)\cos ^{-1}(3/5) has a single value at the range of principal values [0,π][0, \pi].

Answer: False.





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