Weird trig 5

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  • 1. Weird Trigonometry (5) By Dave C, 2013
  • 2. Obtaining the inverse Tan without too much effort....in other words, getting a good approximationfor the angle in a triangle given the base lengthand height. Height Td Base
  • 3. d 1 57Tan ( 45 d) Td d 1 57 57 dTd 57 d Td 157 d Td 1
  • 4. e.g., Td 1 d 57 Td 1 2 3 1 d 57 2 3 1 1 d 57 5 2m O d 11.4 3m
  • 5. e.g., O O Oangle 45 11.4 33 . 6 2m O d 11.4 3m
  • 6. e.g., Correct value: O O O -1 Oangle 45 11.4 33 . 6 Tan (2) 3 33 . 7 2m O d 11.4 3m
  • 7. The approximation is accurate to within 2% for all Tan valuesbetween about 0.5 and about 2.5.That covers a broad range of triangles. O Td 1angle 45 57 Td 1 O Td 1angle 45 60 less 5 % Td 1
  • 8. [END]