SOLUTION: What is the exact value of arccos(cos(3π/2) )

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Question 968430: What is the exact value of arccos(cos(3π/2) )
Found 3 solutions by lwsshak3, ikleyn, n2:
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
What is the exact value of arccos(cos(3π/2) )
ans: 3π/2

Answer by ikleyn(53875) About Me  (Show Source):
You can put this solution on YOUR website!
.
What is the exact value of arccos(cos(3π/2) )
~~~~~~~~~~~~~~~~~~~~~~~


        The answer  "3pi/2"  in the post by @lwsshak3 is INCORRECT.


This problem is a simple elementary  highlight%28highlight%28TRAP%29%29,  and @lwsshak3 fell in this trap.


To answer correctly, you should remember that function arccos has values in interval  [-pi%2F2,pi%2F2].


Therefore, you should transform  3pi%2F2  to the equivalent angle in interval  [-pi%2F2,pi%2F2].


This equivalent angle is  -pi%2F2,  so the correct answer to the problem's question is  -pi%2F2.

        Solved correctly, while the "solution" by @lwsshak3 is disproved.



Answer by n2(88) About Me  (Show Source):
You can put this solution on YOUR website!
.
What is the exact value of arccos(cos(3π/2) )
~~~~~~~~~~~~~~~~~~~~~~~


This problem is a simple elementary  highlight%28highlight%28TRAP%29%29.  It provokes you to answer  " 3pi%2F2 ",  but this answer is  WRONG.

To answer correctly, you should remember that function arccos has values in interval  [-pi%2F2,pi%2F2].


Therefore, you should transform  3pi%2F2  to the equivalent angle in interval  [-pi%2F2,pi%2F2].


This equivalent angle is  -pi%2F2,  so the correct answer to the problem's question is  -pi%2F2.

Solved.

Be accurate and attentive in order for do not fall in this and similar traps.