+0

Why is arccos (2.3) an invalid argument

0
513
2

Why is arccos (2.3) an invalid argument?

Jan 12, 2015

#2
+94976
+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!

Jan 13, 2015

#1
+17747
+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.

Jan 12, 2015
#2
+94976
+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