Last updated on Sep 21, 2026

Applications of Circular Functions (VCE SSCE Mathematical Methods): Quizzes

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Applications of Circular Functions

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What is the general form of a sinusoidal function using cosine?

$y = a \cos(nt + \varepsilon) + b$

Which is an example of periodic motion modeled by sinusoidal functions?

Rotating wheels

For $y = a \sin(nt + \varepsilon) + b$ , what is the period formula?

$\frac{2\pi}{n}$

For $d = 100 - 60 \cos\left(\frac{4\pi}{3}t\right)$ , what is the period in seconds?

$\frac{3}{2}$

For $d = 100 - 60\cos\left(\frac{4\pi}{3}t\right)$ , what is the maximum value of $d$ ?

$160$ cm

For $d = 100 - 60\cos\left(\frac{4\pi}{3}t\right)$ , what is the minimum value of $d$ ?

$40$ cm

For $d = 100 - 60 \cos\left(\frac{4\pi}{3}t\right)$ , what is $d$ when $t = 0$ ?

$40$ cm

For $h(t) = 4\sin\left(\frac{\pi}{6}t\right)$ , what is the period in hours?

$12$ hours

In the tide model, what does a negative height value mean?

Tide is below mean sea level

For $h(t) = 4\sin\left(\frac{\pi}{6}t\right)$ , what is the high tide height?

$4$ metres above mean

Explore VCE SSCE Mathematical Methods Revision Notes by Topics

Measuring Angles in Degrees and Radians

Defining Circular Functions: Sine, Cosine, and Tangent

Symmetry Properties and Values of Circular Functions

Further Symmetry Properties and the Pythagorean Identity

Graphs of Sine and Cosine

Solution of Trigonometric Equations

Sketching Graphs

Addition of Ordinates for Circular Functions

Determining Rules for Graphs of Circular Functions

The Tangent Function

General Solution of Trigonometric Equations

Applications of Circular Functions

Show more

Determining Rules for Graphs of Circular Functions

The Tangent Function

General Solution of Trigonometric Equations

Applications of Circular Functions

Explore VCE SSCE Mathematical Methods Model Answers by Topics

Measuring Angles in Degrees and Radians

Defining Circular Functions: Sine, Cosine, and Tangent

Symmetry Properties and Values of Circular Functions

Further Symmetry Properties and the Pythagorean Identity

Graphs of Sine and Cosine

Solution of Trigonometric Equations

Sketching Graphs

Addition of Ordinates for Circular Functions

Determining Rules for Graphs of Circular Functions

The Tangent Function

General Solution of Trigonometric Equations

Applications of Circular Functions

Show more

Determining Rules for Graphs of Circular Functions

The Tangent Function

General Solution of Trigonometric Equations

Applications of Circular Functions

Explore VCE SSCE Mathematical Methods Flashcards by Topics

Measuring Angles in Degrees and Radians

Defining Circular Functions: Sine, Cosine, and Tangent

Symmetry Properties and Values of Circular Functions

Further Symmetry Properties and the Pythagorean Identity

Graphs of Sine and Cosine

Solution of Trigonometric Equations

Sketching Graphs

Addition of Ordinates for Circular Functions

Determining Rules for Graphs of Circular Functions

The Tangent Function

General Solution of Trigonometric Equations

Applications of Circular Functions

Show more

Determining Rules for Graphs of Circular Functions

The Tangent Function

General Solution of Trigonometric Equations

Applications of Circular Functions

Explore VCE SSCE Mathematical Methods Exam Questions by Topics

Measuring Angles in Degrees and Radians

Defining Circular Functions: Sine, Cosine, and Tangent

Symmetry Properties and Values of Circular Functions

Further Symmetry Properties and the Pythagorean Identity

Graphs of Sine and Cosine

Solution of Trigonometric Equations

Sketching Graphs

Addition of Ordinates for Circular Functions

Determining Rules for Graphs of Circular Functions

The Tangent Function

General Solution of Trigonometric Equations

Applications of Circular Functions

Show more

Determining Rules for Graphs of Circular Functions

The Tangent Function

General Solution of Trigonometric Equations

Applications of Circular Functions

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