Trigonometry (HSC SSCE Mathematics Advanced): Quizzes

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Unit Circle
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10 questions from this quiz

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What is the radius of the unit circle?

11

On the unit circle, what does sin⁡θ\sin \theta equal?

The yy-coordinate

On the unit circle, what does cos⁡θ\cos \theta equal?

The xx-coordinate

How are coordinates of a point on the unit circle written for angle θ\theta?

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

What does tan⁡θ\tan \theta represent on the unit circle?

The gradient yx\frac{y}{x}

In Quadrant 3, which trigonometric ratio is positive?

Only tangent

What is the sign of cos⁡θ\cos \theta in Quadrant 2?

Negative

When is tan⁡θ\tan \theta undefined?

When x=0x = 0

What is −450°-450° equivalent to when reduced by adding multiples of 360°360°?

270°270°

Using the ASTC rule, which ratio is positive in Quadrant 4?

Only cosine

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