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Pythagorean identities: ${\cos ^2}\theta + {\sin ^2}\theta = 1$ ; $1 + {\tan ^2}\theta = {\sec ^2}\theta$ ; $1 + {\cot ^2}\theta = {\csc ^2}\theta$ .

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Topic 3 - Core: Circular functions and trigonometry » 3.2 » Pythagorean identities:

${\cos ^2}\theta + {\sin ^2}\theta = 1$ ;

$1 + {\tan ^2}\theta = {\sec ^2}\theta$ ;

$1 + {\cot ^2}\theta = {\csc ^2}\theta$ .

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