Trigonometric Equations (AQA A-Level Mathematics): Flashcards

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Trigonometry - Simple Identities
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Basic Pythagorean identity

sin2θ+cos2θ=1\sin^2 \theta + \cos^2 \theta = 1

Identity: 1+tan2θ1 + \tan^2 \theta

sec2θ\sec^2 \theta

Identity: 1+cot2θ1 + \cot^2 \theta

csc2θ\csc^2 \theta

tanθ\tan \theta as quotient

sinθcosθ\frac{\sin \theta}{\cos \theta}

secθ\sec \theta as reciprocal

1cosθ\frac{1}{\cos \theta}

cscθ\csc \theta as reciprocal

1sinθ\frac{1}{\sin \theta}

Double angle: sin2θ\sin 2\theta

2sinθcosθ2 \sin \theta \cos \theta

cos(θ)\cos(-\theta) (even/odd?)

cosθ\cos \theta (even function)

sin(θ)\sin(-\theta) (even/odd?)

sinθ-\sin \theta (odd function)

Meaning of \equiv symbol

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

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