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Why is arccos (2.3) an invalid argument?

Guest Jan 12, 2015

Best Answer 

 #2
avatar+92781 
+10

Why is arccos (2.3) invalid?

Well  here is a rather pale right angled triangle.

AT is the hyotenuse so it is the longest side

Cos A = AB/AT = little side/longest side

How can you divide a little nummber by a big number and get an answer more than 1?    You can't!!

That is why  cos of an angel must NOT be more than 1  

and that is why arccos (2.3 ) is invalid!

 

Melody  Jan 13, 2015
 #1
avatar+17744 
+5

The smallest possible value of cosine is -1; the largest possible value is +1. Since 2.3 is not within those values, this arccos of 2.3 is impossible.

geno3141  Jan 12, 2015
 #2
avatar+92781 
+10
Best Answer

Why is arccos (2.3) invalid?

Well  here is a rather pale right angled triangle.

AT is the hyotenuse so it is the longest side

Cos A = AB/AT = little side/longest side

How can you divide a little nummber by a big number and get an answer more than 1?    You can't!!

That is why  cos of an angel must NOT be more than 1  

and that is why arccos (2.3 ) is invalid!

 

Melody  Jan 13, 2015

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