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  • 17-05-2018
  • Mathematics
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verify the identity sec(theta)sin(theta)cot(theta) = 1

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wolf1728
wolf1728 wolf1728
  • 17-05-2018
secant = hypotenuse / adjacent
sine = opposite / hypotenuse
cotangent = adjacent / opposite

So, if we multiply all three we have a numerator of
hypotenuse * opposite * adjacent and a denominator of
adjacent * hypotenuse * opposite

Notice that "hypotenuse", "opposite", and "adjacent" appear exactly once in the numerator AND the denominator.

When numerator = denominator, then a fraction equals ONE.





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