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eimsori [14]
3 years ago
11

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

Mathematics
1 answer:
dybincka [34]3 years ago
4 0
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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