Fundamentals of Trigonometry (Leaving Cert Mathematics): Flashcards

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Three Important Angles
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Three important angles in trigonometry

30°30°, 45°45°, and 60°60°

Why are 30°30°, 45°45°, 60°60° special?

They give exact trig values without a calculator

Triangle type that gives 45°45° angle

Isosceles right triangle

Side ratio of isosceles right triangle

1:1:sqrt21:1:sqrt{2}

sin⁡45°\sin 45°

12\frac{1}{\sqrt{2}}

cos⁡45°\cos 45°

12\frac{1}{\sqrt{2}}

tan⁡45°\tan 45°

11

Triangle type that gives 30°30° and 60°60° angles

30-60-90 triangle

Side ratio of 3030-6060-9090 triangle

1:sqrt3:21:sqrt{3}:2

sin⁡60°\sin 60°

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

cos⁡60°\cos 60°

12\frac{1}{2}

sin⁡30°\sin 30°

12\frac{1}{2}

cos⁡30°\cos 30°

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

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