CAIE: A Level - Mathematics 9709 - Pure Mathematics 3

Trigonometry / Proving Identities

KEYPOINTS:

sinθ = \(\frac{1}{cosecθ}\), cosθ = \(\frac{1}{secθ}\), tanθ = \(\frac{1}{cotθ}\), tanθ = \(\frac{sinθ}{cosθ}\)
sin²θ + cos²θ = 1, cot²θ + 1 = cosec²θ, tan²θ + 1 = sec²θ
sin2θ ≡ 2sinθ cosθ
cos2θ ≡ cos²θ – sin²θ ≡ 2cos²θ – 1 ≡ 1 – 2sin²θ
tan2θ ≡ \(\frac{2\tan\theta}{1-\tan^2\theta}\)

Past Papers Topic Wise Questions A Level: Mathematics 9709 - Pure Mathematics 3 Trigonometry | Proving Identities

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