Summary (Grade 11 NSC Matric Mathematics): Flashcards

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Square Identity (Pythagorean Identity) formula

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

Quotient Identity formula

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

What is sin⁡(−θ)\sin(-θ) equal to?

−sin⁡θ-\sin θ

What is cos⁡(−θ)\cos(-θ) equal to?

cos⁡θ\cos θ

What is sin⁡(90°−θ)\sin(90° - θ) equal to?

cos⁡θ\cos θ

When to use sine rule?

Two angles & a side, or two sides & non-included angle

Area rule formula (with sides b, c and angle A)

12bcsin⁡A\frac{1}{2}bc \sin A

Cosine rule formula for a2a^2

a2=b2+c2−2bccos⁡Aa^2 = b^2 + c^2 - 2bc \cos A

Which trig functions are positive in Quadrant II?

Sine only

General solution for tan⁡θ=x\tan θ = x

θ=tan⁡−1x+k⋅180°θ = \tan^{-1} x + k \cdot 180° where k∈Zk \in \mathbb{Z}

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