# Transformations of Sine and Cosine

- Author:
- Jonathan Luettgen

- Topic:
- Cosine, Sine, Trigonometric Functions, Trigonometry

## Parameter #1: Leading Coefficient

Drag the slider for a to investigate how the graph of cosine changes as the leading coefficient changes. Make a note of what happens below.

## Parameter #1

## Question 1

How does the graph change as the parameter "a" changes?

## Parameter #2: Addition of a constant

Drag the slider for d and observe how the graph of sine changes. Make a note of what happens below.

## Parameter #2

## Question 2

How does the graph of sine change as "d" is changed?

## Parameter #3: Coefficient on x

Drag the slider for b and observe how the graph changes. Make a note of what happens below.

## Parameter #3

## Question 3

How does the graph of sine change as "b" changes?

## Parameter #4: Adding/Subtracting inside sine/cosine

Drag the slider for "c" and observe what changes in the graph. Make a note of what happens below.

## Parameter 4

## Question 4

How does the graph change when "c" changes?