Graphs of Sine and Cosine (VCE SSCE Mathematical Methods): Quizzes

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Graphs of Sine and Cosine
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What is the period of the basic sine function y=sin⁡xy = \sin x?

2π2\pi units

How is the graph of y=cos⁡xy = \cos x related to y=sin⁡xy = \sin x?

Sine shifted π2\frac{\pi}{2} left

What is the amplitude of y=5sin⁡(3t)y = 5\sin(3t)?

55

What is the period of y=cos⁡(4x)y = \cos(4x)?

π2\frac{\pi}{2}

What is the period of f(t)=sin⁡(t2)f(t) = \sin\left(\frac{t}{2}\right)?

4π4\pi

What is the amplitude of y=−3cos⁡(2x)y = -3\cos(2x)?

33

What is the range of y=7sin⁡(nt)y = 7\sin(nt) where n>0n > 0?

[−7,7][-7, 7]

What does a larger coefficient nn do to y=sin⁡(nt)y = \sin(nt)?

Creates more cycles in same space

What transformation does a negative coefficient aa produce?

Reflection in the x-axis

Which statement about sine is correct?

sin⁡(−x)=−sin⁡(x)\sin(-x) = -\sin(x) (odd function)

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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