Trigonometry: Pythagorean identities

IGCSE 0606 syllabus, theme 10, Trigonometry: use the relationships sin A/cos A = tan A, cos A/sin A = cot A, sin^2 A + cos^2 A = 1, sec^2 A = 1+ tan^2 A, csc^2 A = 1 + cot^2 A; prove simple trigonometric identities.

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