# Cosine Curve

- Author:
- Peter Sassman

- Topic:
- Cosine, Sine, Geometric Transformations

The applet below has 4 different transformations of the curve, y=cos x. Move the sliders for a,b,c, and d, and see how the graph changes. Note: x is in radians. You can also show the sine curve, by pushing the check box.
Play around until you understand the idea, and then answer the questions below.

**Question 1:**Describe the transformation, that moves y=cos x to y=sin x. Consider the general cosine curve, y=a cos (b(x-c))+d.

**Question 2:**Write the amplitude, principal axis, period, minimum, and maximum of the general cosine curve.

**Question 3:**How does your answers to question 2 match y=sin x?