The Sine Function (Grade 11 NSC Matric Mathematics): Quizzes

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The Sine Function
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What is the period of the basic sine function y=sin⁡θy = \sin \theta?

360°

What is the amplitude of the sine function y=sin⁡θy = \sin \theta?

1

What is the range of y=sin⁡θy = \sin \theta?

[−1;1][-1; 1]

Where does y=sin⁡θy = \sin \theta have its maximum turning point?

(90°;1)(90°; 1)

What is the period of y=sin⁡2θy = \sin 2\theta?

180°

What happens to y=sin⁡θy = \sin \theta when a<0a < 0 in y=asin⁡θy = a \sin \theta?

Graph reflects about the x-axis

What effect does q>0q > 0 have in y=sin⁡θ+qy = \sin \theta + q?

Graph shifts upward by qq units

In y=sin⁡(θ+p)y = \sin(\theta + p), which way does the graph shift when p>0p > 0?

Left

What is the period of y=sin⁡3θ2y = \sin \frac{3\theta}{2}?

240°

What is the range of y=2sin⁡θ−1y = 2\sin\theta - 1?

[−3;1][-3; 1]

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