Notes for Homework 2, due Mon. Feb 4

Notes for defining a triangle by three points in the plane. Finding the area and classifying the triangle by finding the distance of all three sides.

Dealing with "the famous angles": 0°, 30°, 45°, 60°, 90°. Finding secant, cosecant and cotangent of these angles.
 

Notes for homework #1, due Jan. 29

Notes on the triangle inequality

Classifying triangles defined by side lengths
Let the three sides be called a, b and c, where c is the longest side.

There are three possible relationships between the sum of the squares of a and b and the value c². 

a² + b² > c²   This means the triangle is acute.
a² + b² = c²   This means the triangle is right. This is the Pythagorean Theorem,
a² + b² < c²   This means the triangle is obtuse

Here are some practice problems
     

Given one angle measurement, create an isosceles triangle. If the angle is acute, there are two possible isosceles triangle.

Notes on Heron's Formula and practice problems

Notes for Homework 9, due March 27

Working on Asin(bx + c) + D

Defining the function given two consecutive extremes

Notes for Homework 8, due March 20

Notes on Law of Sines and Law of Cosines

Notes for Homework 7, due March 13

The Law of Cosines to find a third side length

The Law of Cosines to find three angles given three sides

More on the Law of Cosines to find three angles given three sides

Notes for Homework 6, due March 6

Notes for double angle and addition and subtraction of angles

Typo on take home midterm

On the top problem on the back page, the angle has a negative value for cosine, but we are told it is in Quadrant IV. Cosine is positive in Quadrant IV. Instead change the question to say Quadrant III instead.