# Mathematics for Technology II (Math 2131)

Durham College, Mathematics
Free
• 0 lessons
• 0 quizzes
• 14 week duration
• ##### Solving Systems of Equations

This unit introduces how to systematically solve a system of equations, namely linear equations. Examples of non-linear systems, including systems of 3 unknowns will be of emphasis.

• ##### Graphs of Trigonometric Functions

The unit focuses primarily on how to graph periodic sinusoidal functions, and how to identify features of a waveform to produce an equation by inspection.

• ##### Polar Coordinate Functions

An introduction to the polar coordinate system.

• ##### Complex Numbers

This unit is an extension of what was introduced in Math 1131. To learn how to work with radicals, knowing your exponent laws in crucial. Hence, this unit begins with a thorough review.

• ##### Logarithmic Functions

This chapter introduces you to exponential functions, and how they can be solved using logarithms.

• ##### Trigonometric Identities and Equations
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• ##### Analytic Geometry
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## Mathematics for Technology II (Math 2131)

### Graphing the Cosine Function

All cosine functions start off looking like this without applying any transformation:

The steps to graphing cosine waves is identical to graphing sine waves. A summary of steps as explained in the previous video are written below:

(a) Draw two horizontal lines, each at a distance equal to the amplitude a from the x axis.

(b) Draw a vertical line at a distance from the origin equal to the period P. We now have a rectangle of width P and height 2×a.

(c) Subdivide the period P into four equal parts. Label the x axis at these points, and draw vertical lines through them.

(d) Lightly sketch in the sine/cosine curve.

(e) Shift the curve by the amount of the phase shift.

Question 1

Question 2