Difference between revisions of "Pythagorean identities"
(Created page with "The Pythagorean identities state that <math>\sin^2x + \cos^2x = 1</math> <math>1 + \cot^2x = \csc^2x</math> <math>\tan^2x + 1 = \sec^2x</math> Using the unit circle definitio...") |
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Revision as of 20:16, 7 September 2023
The Pythagorean identities state that
Using the unit circle definition of trigonometry, because the point 
is defined to be on the unit circle, it is a distance one away from the origin. Then by the distance formula, . To derive the other two Pythagorean identities, divide by either 
or 
and substitute the respective trigonometry in place of the ratios to obtain the desired result.
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