Evaluatin Inverse Trigonometric Functions...3

[nycmathguy]

Section 4.7

Why is arccos(-2) undefined?

 

[MathLover1]

The cosine function has a range of [−1,1] , meaning the inverse cosine function has a domain of [−1,1] The reason cos(arccos(-2)) is undefined is because -2 is outside of the domain for arccos .

real domain for cos^-1 (x ) is -1<=x<= 1

cos^-1 (-2 ) has No Solution for x in R

 

[nycmathguy]

The cosine function has a range of [−1,1] , meaning the inverse cosine function has a domain of [−1,1] The reason cos(arccos(-2)) is undefined is because -2 is outside of the domain for arccos .

real domain for cos^-1 (x ) is -1<=x<= 1

cos^-1 (-2 ) has No Solution for x in R

Interesting information. The range of cos x [-1, 1] is the domain of arccos x. I did not know this truth. I don't have time to read the lecture notes before tackling the section questions. Wish I had time to do so but I don't. My job gets in the way in terms of many of the thingsbI like doing including playing guitar. Time is limited, very limited.