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How do I find sin(170) degrees without using a calculator?
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there is a chart that you can consult, but other than that, not possible
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In the absence of either a table or a chart you could estimate it. It will be the sin (180 -10). Now since sin 90 = 1 and sin 180 = 0 then naively using linear extrapolation would imply sin 10 = 1/9 or roughly 0.11 so that would give sin 170 = 0.11 - it's actually 0.17 so you can see the shortcoming of assuming linear but like I say it's an estimate not a guess. See if anyone can do better.
If you recall that sin 30 is special ie it's 0.5 then sin 10 = 0.5/3 roughly = 0.17 and obviously sin 170 = sin 10 so there you go provided you recall that sin 30 = 0.5
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