Summary (Grade 12 NSC Matric Mathematics): Flashcards

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Pythagorean identity

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

tan⁡θ\tan\theta in terms of sin⁡\sin and cos⁡\cos

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

sin⁡30°\sin 30°

12\frac{1}{2}

Which trig functions are positive in quadrant 2?

Sine

sin⁡(90°−θ)\sin(90° - \theta)

cos⁡θ\cos\theta

cos⁡(−θ)\cos(-\theta)

cos⁡θ\cos\theta

Period of tan⁡θ\tan\theta

180°180°

Area of triangle with sides bb, cc and included angle AA

12bcsin⁡A\frac{1}{2}bc\sin A

Sine rule

sin⁡Aa=sin⁡Bb=sin⁡Cc\frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c}

sin⁡(2θ)\sin(2\theta)

2sin⁡θcos⁡θ2\sin\theta\cos\theta

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