Last updated on Oct 23, 2026

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

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Graphs of Sine/Cosine Functions

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What type of functions are $\sin(x)$ and $\cos(x)$ ?

Periodic functions

Period of $\sin(x)$ and $\cos(x)$

$2\pi$

Amplitude of $\sin(x)$ and $\cos(x)$

1

Range of $\sin(x)$ and $\cos(x)$

$[-1, 1]$

Domain of $\sin(x)$ and $\cos(x)$

All real numbers

Starting point of $\sin(x)$ graph

$(0, 0)$

Starting point of $\cos(x)$ graph

$(0, 1)$

Symmetry type of $\sin(x)$

Odd function

Symmetry type of $\cos(x)$

Even function

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

Multiples of $\pi$

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

Odd multiples of $\frac{\pi}{2}$

In $a + b\sin(cx)$ , what does $a$ adjust?

Vertical shift

In $a + b\sin(cx)$ , what does $b$ adjust?

Amplitude

In $a + b\sin(cx)$ , what does $c$ adjust?

Frequency

Explore Leaving Cert Mathematics Revision Notes by Topics

The Basics

Special Angles & The Unit Circle

Radians & Sectors

Periodic Functions

Solving Trig Equations

Trig Identities

Explore Leaving Cert Mathematics Model Answers by Topics

The Basics

Special Angles & The Unit Circle

Radians & Sectors

Periodic Functions

Solving Trig Equations

Trig Identities

Explore Leaving Cert Mathematics Quizzes by Topics

The Basics

Special Angles & The Unit Circle

Radians & Sectors

Periodic Functions

Solving Trig Equations

Trig Identities

Explore Leaving Cert Mathematics Exam Questions by Topics

The Basics

Special Angles & The Unit Circle

Radians & Sectors

Periodic Functions

Solving Trig Equations

Trig Identities

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