Trigonometric Equations (AQA A-Level Mathematics): Flashcards

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Trigonometry - Simple Identities
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Basic Pythagorean identity

sin⁡2θ+cos⁡2θ=1\sin^2 \theta + \cos^2 \theta = 1

Identity: 1+tan⁡2θ1 + \tan^2 \theta

sec⁡2θ\sec^2 \theta

Identity: 1+cot⁡2θ1 + \cot^2 \theta

csc⁡2θ\csc^2 \theta

tan⁡θ\tan \theta as quotient

sin⁡θcos⁡θ\frac{\sin \theta}{\cos \theta}

sec⁡θ\sec \theta as reciprocal

1cos⁡θ\frac{1}{\cos \theta}

csc⁡θ\csc \theta as reciprocal

1sin⁡θ\frac{1}{\sin \theta}

Double angle: sin⁡2θ\sin 2\theta

2sin⁡θcos⁡θ2 \sin \theta \cos \theta

cos⁡(−θ)\cos(-\theta) (even/odd?)

cos⁡θ\cos \theta (even function)

sin⁡(−θ)\sin(-\theta) (even/odd?)

−sin⁡θ-\sin \theta (odd function)

Meaning of ≡\equiv symbol

Identical to (stronger than =, true for all values)

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