Special Angles (Grade 10 NSC Matric Mathematics): Quizzes

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Special Angles
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What are the three special angles in trigonometry?

30°30°, 45°45°, 60°60°

What is the side ratio of a 30°30°-60°60°-90°90° triangle?

1:3:21 : \sqrt{3} : 2

What is the side ratio of a 45°45°-45°45°-90°90° triangle?

1:1:21 : 1 : \sqrt{2}

What is the exact value of sin⁡30°\sin 30°?

12\frac{1}{2}

What is the exact value of cos⁡60°\cos 60°?

12\frac{1}{2}

What is the exact value of tan⁡45°\tan 45°?

11

What pattern do sine numerators follow from 30°30° to 60°60°?

11, 2\sqrt{2}, 3\sqrt{3}

Which relationship explains why cos⁡30°=sin⁡60°\cos 30° = \sin 60°?

cos⁡θ=sin⁡(90°−θ)\cos θ = \sin(90° - θ)

Calculate sin⁡30°+cos⁡60°\sin 30° + \cos 60°.

11

If sin⁡θ=32\sin θ = \frac{\sqrt{3}}{2} and 0°≤θ≤90°0° ≤ θ ≤ 90°, what is θθ?

60°60°

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