Right Angle Trigonometry These relationships can only be used with a 90 o angle. SOH CAH TOA can be used to help remember the ratios A Adjacent Opposite Hypotenuses

Example 1: Calculating a Side Decide which angle and which 2 sides to use In this case angle = 40, opp = 5, hyp = x opp and hyp is sin flip the fractions to get x in the top cross multiply

Example 2: Calculating an Angle Decide which angle and which 2 sides to use In this case angle = A, adj = 5, hyp = 7 adj and hyp is cos use cos -1 to calculate an angle

Non-Right Angle Trigonometry SIN LAW OR Side a is opposite angle A, side B opposite angle b, etc To use sin law, you must know one side-angle pair and you must also know one other side.

Examples : Sin Law

COS LAW Used when you do not have a side-angle pair

Examples : Cos Law

Find out if 2 triangles are congruent - Ch. review p.515, #1 Find out if 2 triangles are similar - Ch. review p.p.515, #2 & p.518#3-6 & p.538,#1-3 & p.586#1,2 Find missing sides or angles in a right angle triangle - Ch. review p.522,# & Ch. review test p.526,#1abc,2-7 Chapter 5 – Primary Trig Ratios and Similar Triangles Find missing sides or angles in a non-right angle triangle Ch. review p.582,#4-6 & p.585,#10-12 & Ch. review test p.3-10 Find missing sides or angles in a non-right angle triangle Ch. review p.583,#7-9 & p.585,#10-12 & Ch. review test p.3-10 Chapter 6 – Trig for Non-Right Angle Triangles