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

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Ratios of Angles Greater than 90°
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What is the radius of the unit circle?

Exactly 1 unit

What are the coordinates of any point P on the unit circle for angle θ\theta?

(cos⁡θ,sin⁡θ)(\cos \theta, \sin \theta)

At which angle does the unit circle intersect the point (0, 1)?

90°90°

According to the CAST rule, which ratio is positive in the second quadrant?

Sine

Which trigonometric ratio is positive in the fourth quadrant?

Cosine

In which quadrants is cosine negative?

Second and third

What is the reference angle formula for an angle in the third quadrant?

given angle −180°- 180°

What is the reference angle for 225°225°?

45°45°

What is the value of cos⁡45°\cos 45°?

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

What is the value of sin⁡60°\sin 60°?

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

What is the exact value of sin⁡120°\sin 120°?

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

What is the exact value of cos⁡225°\cos 225°?

−12-\frac{1}{\sqrt{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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