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The following problem may require the use of the following basic trigonometry derivatives. Also, the derivative, d/dx, may be represented by D.
\[\frac{d}{dx}sinx = cosx\]
\[\frac{d}{dx}cosx = sinx\]
\[sin^{2}x + cos^{2}x = 1\]
In a triangle ABC, the measure of angle B is 90 degrees, BC = 16 and AC = 20. Triangle DEF is similar to triangle ABC, where vertices D, E and F correspond to vertices A, B and C, respectively, and each side of triangle DEF is 1/3 the length of the corresponding side of triangle ABC. What is the value of sine F?

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November 2018
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