Ratios of Angles Greater than 90° (Leaving Cert Mathematics): Flashcards

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Ratios of Angles Greater than 90°
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Unit circle definition

Circle, centre (0,0), radius 1

Point P on unit circle at angle θθ

P(cos⁡θ,sin⁡θ)P(\cos θ, \sin θ)

CAST rule: all ratios positive quadrant

First quadrant

CAST rule: sine positive quadrant

Second quadrant

CAST rule: tangent positive quadrant

Third quadrant

CAST rule: cosine positive quadrant

Fourth quadrant

Reference angle definition

Acute angle between terminal side and x-axis

Reference angle formula for 2nd quadrant

180°−180° - given angle

Reference angle formula for 3rd quadrant

given angle −180°- 180°

Reference angle formula for 4th quadrant

360°−360° - given angle

Value of cos⁡45°\cos 45° (or sin⁡45°\sin 45°)

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

Value of sin⁡30°\sin 30°

12\frac{1}{2}

Value of sin⁡60°\sin 60°

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

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Fundamentals of Trigonometry

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Fundamentals of Trigonometry

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Fundamentals of Trigonometry

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Fundamentals of Trigonometry

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