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16 December, 23:41

Verify the identity sec (theta) sin (theta) cot (theta) = 1

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  1. 16 December, 23:53
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    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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