Graphs of Sine/Cosine Functions (Leaving Cert Mathematics): Quizzes

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Graphs of Sine/Cosine Functions
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What is the period of both sin⁡(x)\sin(x) and cos⁡(x)\cos(x)?

2π2\pi

What is the amplitude of the standard sin⁡(x)\sin(x) and cos⁡(x)\cos(x) functions?

11

What is the range of sin⁡(x)\sin(x) and cos⁡(x)\cos(x)?

[−1,1][-1, 1]

What is the domain of sin⁡(x)\sin(x) and cos⁡(x)\cos(x)?

All real numbers

At which point does sin⁡(x)\sin(x) start?

(0,0)(0, 0)

At which point does cos⁡(x)\cos(x) start?

(0,1)(0, 1)

What type of symmetry does sin⁡(x)\sin(x) have?

Odd function

What type of symmetry does cos⁡(x)\cos(x) have?

Even function

Where does sin⁡(x)\sin(x) cross the xx-axis?

Multiples of π\pi

Where does cos⁡(x)\cos(x) cross the xx-axis?

Odd multiples of π2\frac{\pi}{2}

What value does cos⁡(x)\cos(x) reach at x=πx = \pi?

−1-1

In f(x)=a+bsin⁡(cx)f(x) = a + b \sin(cx), what does the parameter aa adjust?

Vertical shift

In g(x)=a+bcos⁡(cx)g(x) = a + b \cos(cx), what does the parameter bb adjust?

Amplitude

In f(x)=a+bsin⁡(cx)f(x) = a + b \sin(cx), what does the parameter cc adjust?

Frequency

Where does sin⁡(x)\sin(x) have a peak?

π2\frac{\pi}{2}

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Special Angles & The Unit Circle

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The Basics

Special Angles & The Unit Circle

Radians & Sectors

Periodic Functions

Solving Trig Equations

Trig Identities

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