Special Angles (Grade 10 NSC Matric Mathematics): Flashcards

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Special Angles
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Three special angles in trigonometry

30°, 45°, 60°

Side ratio of 30°-60°-90° triangle

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

Side ratio of 45°-45°-90° triangle

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

Exact value of sin⁡30°\sin 30°

12\frac{1}{2}

Exact value of cos⁡60°\cos 60°

12\frac{1}{2}

Exact value of tan⁡45°\tan 45°

11

Exact value of sin⁡60°\sin 60°

32\frac{\sqrt{3}}{2}

Exact value of cos⁡30°\cos 30°

32\frac{\sqrt{3}}{2}

Pattern for sin⁡\sin numerators (30°, 45°, 60°)

1,2,31, \sqrt{2}, \sqrt{3}

Complementary angle relationship for cos and sin

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

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