Please help! "Imagine a disc of radius 1m spinning anticlockwise at pi rad/sec."

Steven G

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What is the connection between alpha and theta? I tried drawing all kinds of lines but need a little help here. I refuse to show my work so please don't ask!!

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What is the connection between alpha and theta? I tried drawing all kinds of lines but need a little help here. I refuse to show my work so please don't ask!!

View attachment 36783
Law of Sines: Angle A is equal to [imath]\pi - \alpha - \theta[/imath] and
[imath]\dfrac{sin(\theta)}{1} = \dfrac{sin(A)}{2}[/imath]

-Dan
 
Drop height from A - you get 2 triangles. tan(θ) in the right triangle can be expressed in terms of sin and cos of α in the left triangle.
 
Let C be the centre point. Use the cos rule to find an expression for side c in terms of \(\displaystyle \alpha\).

Use the sine rule and then the cosine rule to find expressions for sin\(\displaystyle \theta\) and cos\(\displaystyle \theta\) in terms of \(\displaystyle \alpha\).

Combine to find an expression for tan\(\displaystyle \theta\) in terms of \(\displaystyle \alpha\).
 
Let C be the centre point. Use the cos rule to find an expression for side c in terms of \(\displaystyle \alpha\).

Use the sine rule and then the cosine rule to find expressions for sin\(\displaystyle \theta\) and cos\(\displaystyle \theta\) in terms of \(\displaystyle \alpha\).

Combine to find an expression for tan\(\displaystyle \theta\) in terms of \(\displaystyle \alpha\).
I tried this but didn't get anywhere.
 
I refuse to show my work so please don't ask!!
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-Dan
 
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-Dan
Every alternate "ban him" should be bold letters - just so that emphasis on ban is not lost...............
 
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