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Mathematics 23 Online
OpenStudy (anonymous):

sin (x-y) if cos x = 8/17 and cos y = 3/5

OpenStudy (anonymous):

Using a trig identity, we can define tan(x - y) as: (tanx - tany)/(1 + tanxtany) If sinx is 8/17, that means tanx = 8/15 (Draw a triangle and use the SOHCAHTOA rules) Likewise, if cosy is 3/5, then tany = 4/3 Just plug in those values into the formula above to get your answer. The answer ends up being -36/77

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