A problem related to Trigonometry

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Summer Exercise S2 --> S3 Page 63 Question 21 (You can drag B to see how the diagram changes.) Find the measure of angle ABO in order to make the distance between D and OB the longest.

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apec
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Proving Triangles Similar: Multistep Transformations
Two Triangle Theorem

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Cross Section
y=sen(x-a)+b
Test
Tangent line to demo f'' < 0
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