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Material Taken From: Mathematics for the international student Mathematical Studies SL Mal Coad , Glen Whiffen , John Owen, Robert Haese , Sandra Haese and Mark Bruce Haese and Haese Publications, 2004. Chapter 10 – Section A Right Triangle Trigonometry. Objectives.

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Material Taken From:Mathematicsfor the international student Mathematical Studies SLMal Coad, Glen Whiffen, John Owen, Robert Haese, Sandra Haese and Mark BruceHaese and Haese Publications, 2004

objectives

Chapter 10 – Section A

Right Triangle Trigonometry

Objectives

To identify the trig ratios of a right triangle.

To find the missing side or angle of a right triangle.

slide3

opposite

hypotenuse

opp

hyp

adjacent

adj

1 in the diagram find
1) In the diagram find:

the hypotenuse

side opposite angle A

side adjacent to angle A

side opposite angle C

side adjacent to angle C

slide5

Chapter 10 – Section B: Trigonometric Ratios

The Trigonometric Functions

SINE

COSINE

TANGENT

soh cah toa
SOHCAHTOA

hyp

opp

adj

2 for the triangle shown find
2) For the triangle shown, find:

sin

cos

tan

finding sides
Finding Sides:

Label the triangle with hyp, opp, adj,

Choose the correct ratio from SOHCAHTOA

Set up the equation

Solve.

finding angles
Finding Angles:
  • Label the triangle with hyp, opp, adj,
  • Choose the correct ratio from SOHCAHTOA
  • Set up the equation
  • Solve by using the inverse.
    • Calculator must be in DEGREE mode!
homework
Homework
  • 10A, pg 318
    • #1
  • 10B.1, pg 319
    • #1ace
  • 10B.2, pg 321
    • #2acegi, 3ac
  • 10B.3, pg 323
    • #1 acegi, 2a