Summary (Grade 11 NSC Matric Mathematics): Quizzes

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What is the Pythagorean identity in trigonometry?

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

What does the quotient identity state about tan⁡θ\tan θ?

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

In triangle labelling, which side is opposite angle A?

Side a

What is cos⁡(−θ)\cos(-θ) equal to?

cos⁡θ\cos θ

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

cos⁡θ\cos θ

In Quadrant II (90° to 180°), which function is positive?

Sine only

When should you use the sine rule?

Two angles & a side OR two sides & non-included angle

When should you use the cosine rule?

Two sides & included angle OR all three sides

What is the area formula for a triangle with sides b, c and included angle A?

12bcsin⁡A\frac{1}{2}bc \sin A

For tan⁡θ=x\tan θ = x, what is the period of the general solution?

180°180°

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