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This important identity can be derived as a direct result of Pythagoras's theorem, when applied to angles in trigonometry:
sin²x + cos²x = 1 (1)
By dividing each of these terms by sin²x, we can derive a second identity:
1 + cot²x = cosec²x
By dividing (1) by cos²x, we arrive at the third (and final) identity:
tan²x + 1 = sec²x

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