PDF File | Theorems and Postulates

RIGHT TRIANGLE TRIGONOMETRY

In this unit, you will investigate how basic trigonometry is derived from the angles and sides of right triangles. You will then apply trigonometry to solve problems that involve angles of elevation and angles of depression. In the last part of the unit, you will explore the Law of Sines and the Law of Cosines to solve any type of triangle. The Law of Sines is used when two angles and a side are known or two sides and an angle opposite one of these sides is known. The Law of Cosines is used when two sides and the included angle are known or all three sides are known.

 Solving Triangles Using the Pythagorean Theorem and the Six Trig Functions (07:01)

 
 

 
  Law of Sines (10:39)
 
 Law of Cosines (05:59)


Below are additional educational resources and activities for this unit.
 
Trigonometric Ratios
 
Right Triangle Trigonometry
 
Solving for a side with the law of sines
 
Solving for a an angle with the law of sines
 
Practice: Solve triangles using the law of sines
 
Proof of the law of sines
 
The Law of Sines
 
Solving for a side with the law of cosines
 
Solving for a an angle with the law of cosines
 
Practice: Solve triangles using the law of cosines
 
Proof of the law of cosines
 
The Law of Cosines