Evaluatin Inverse Trigonometric Functions...3

Discussion in 'Geometry and Trigonometry' started by nycmathguy, Nov 21, 2021.

  1. nycmathguy

    nycmathguy

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    Section 4.7

    20211120_183336.jpg

    20211121_171846.jpg

    Why is arccos(-2) undefined?
     
    nycmathguy, Nov 21, 2021
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  2. nycmathguy

    MathLover1

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    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
     
    Last edited: Nov 22, 2021
    MathLover1, Nov 21, 2021
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  3. nycmathguy

    nycmathguy

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    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.
     
    nycmathguy, Nov 22, 2021
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