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Now that the sine curve is drawn across the curves of the unknown object, it is time to compare the curve formed by the circle to the original sine curve. Take the y values of the curved object and subtract it from the value of the sine curve we drew. Then take this newly modified curve of the sine and compare it to the actual sine curve itself. (For ease of use you can just run your circular instrument we created across a horizontal line.) Add one to the value of the true sine curve to eliminate negative numbers. Subtract the only positive number sin curve from the curve we wrapped around the unknown curve object. Restated, subtract the sine curve from the curve formed by the rotating circle. Repeat the steps for the cosine. And once the sine and cosine is found
you can use the formula sin/cos = tan to find the tangent.
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References: pic 1 and 2 from: "Rinehart Mathematical Tables, Formulas and Curves", Larsen, Rinehart 1955 pic 6 from: "Analytic Trigonometry with Applications Sixth Edition" Barnett, PWS Publishing Company 1995 |
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