Weird trig 2

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Weird trig 2

  1. 1. Weird Trigonometry (2) By Dave C, 2013
  2. 2. Tan(x) Sin(x) 0.2 Find x
  3. 3. Tan(x) Sin(x) 0.2 Find xThe first thing to notice about this is that the two functiondon’t add up to much. 0.2 is pretty small, which means thatthe two trig values are small, which in turn means that the twoangles are small.
  4. 4. Tan(x) Sin(x) 0.2 Find xThe first thing to notice about this is that the two functiondon’t add up to much. 0.2 is pretty small, which means thatthe two trig values are small, which in turn means that the twoangles are small.That means you can apply the approximation thatTan(x) Sin(x) x
  5. 5. Tan(x) Sin(x) 0.2 x x 0.2Tan(x) Sin(x) x
  6. 6. Tan(x) Sin(x) 0.2 x x 0.2 2x 0.2 x 0.1 radsTan(x) Sin(x) x
  7. 7. Tan(x) Sin(x) 0.2 x x 0.2 2x 0.2 x 0.1 radsMultiply by 57 to get the answer in degrees: x 5.7OTan(x) Sin(x) x
  8. 8. Tan(x) Sin(x) 0.2Test the answer:Tan(5.7 O ) Sin(5.7 O ) 0.1991 x 5.7O
  9. 9. Tan(x) Sin(x) 0.2Test the answer:Tan(5.7 O ) Sin(5.7 O ) 0.1991 x 5.7O(Good enough for me.)
  10. 10. [END]

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