Last updated on Oct 23, 2026

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

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The Cosine Function

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What is the y-intercept of the basic cosine function $y = \cos θ$ ?

$(0°; 1)$

What is the range of the basic cosine function $y = \cos θ$ ?

$[-1; 1]$

What is the period of the function $y = \cos(3θ)$ ?

$120°$

What are the x-intercepts of $y = \cos θ$ for $0° ≤ θ ≤ 360°$ ?

$(90°; 0)$ and $(270°; 0)$

In $y = \cos θ + q$ , what happens when $q > 0$ ?

Graph shifts upward by $q$ units

For $y = a \cos θ$ where $a < 0$ , what transformation occurs?

The graph reflects about the x-axis

What is the minimum turning point of $y = \cos θ$ for $0° ≤ θ ≤ 360°$ ?

$(180°; -1)$

For $y = \cos(θ + p)$ where $p > 0$ , which direction does the graph shift?

Left by $p$ degrees

What does the property $\cos(-θ) = \cos θ$ indicate about the cosine function?

Cosine is an even function

What is the amplitude of $y = -3 \cos θ + 2$ ?

$3$

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