How do I find the point on a line where the angle between two other points is the largest?

Gustav Källander shared this question 4 months ago
Answered

I have a line f(x) = sin(22*)x - 3sin(22*) that forms and angle between the two points A (0,3) and B (0,11). How do I find where point C (f) creates the largest angle ACB?

Comments (4)

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Please post your .ggb file

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Ok! This includes some equations at theend which I hope will lead me to the solution, but it hasn't quite worked.

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Hi Gustav,


work with this - https://en.wikipedia.org/wiki/Law_of_cosines


The cosine is strictly monotically increasing between 0° and 180°, so you are looking for a minimum of the cosine.


See the attached file.


Greetings

mire2

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I figured it out by creating a separate expression for the angle, whose largest value was the largest value for the angle.

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