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need to prove the equation AC/BD = tan(theta - alpha) + cot(theta). I'm at a total loss for where to begin.  So far all I've managed to do is expand tan(theta - alpha) using the two-angle trig  formula and define the angles opposite of DC and AD in terms of theta

need to prove the equation AC/BD = tan(theta - alpha) + cot(theta). I'm at a total loss for where to begin.  So far all I've managed to do is expand tan(theta - alpha) using the two-angle trig  formula and define the angles opposite of DC and AD in terms of theta

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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I need to prove the equation AC/BD = tan(theta - alpha) + cot(theta).

I'm at a total loss for where to begin.  So far all I've managed to do is expand tan(theta - alpha) using the two-angle trig  formula and define the angles opposite of DC and AD in terms of theta.

6. Another chip formation model can be drawn as the following schematic. Using this model, we can find the shear strain during the chip formation. The shear strain can be defined as the ratio of the length between A and C, or AC, to the length between B and D, or BD. A. B Prove the following equation: AC = tan(0 – a) + cot 0. BD AD + DC (Hint: AC BD AC 7. When a = 10°, t = 0.5 mm, h = 1.125 mm, compute the shear strain,: BD
Transcribed Image Text:6. Another chip formation model can be drawn as the following schematic. Using this model, we can find the shear strain during the chip formation. The shear strain can be defined as the ratio of the length between A and C, or AC, to the length between B and D, or BD. A. B Prove the following equation: AC = tan(0 – a) + cot 0. BD AD + DC (Hint: AC BD AC 7. When a = 10°, t = 0.5 mm, h = 1.125 mm, compute the shear strain,: BD
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Here we have to prove that , 

ACBD=tanθ-α+cotθ

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