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Objectives

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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Objectives

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  1. 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

  2. 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.

  3. opposite hypotenuse opp hyp adjacent adj

  4. 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

  5. Chapter 10 – Section B: Trigonometric Ratios The Trigonometric Functions SINE COSINE TANGENT

  6. SOHCAHTOA hyp opp adj

  7. 2) For the triangle shown, find:  sin cos tan 

  8. Finding Sides: Label the triangle with hyp, opp, adj, Choose the correct ratio from SOHCAHTOA Set up the equation Solve.

  9. 65° 10.2 cm x Find, to 3 significant figures, the unknown length in: 3) 4) 8.3 cm x 55°

  10. x 23° 6 34 37° y Find, to 3 significant figures, the unknown length in: 5) 6)

  11. 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!

  12. Find, to 1 decimal place, the measure of the angle marked  in: 7) 8) 4 2.67 5.92 θ θ 7

  13. 20 θ 21 Find, to 1 decimal place, the measure of the angle marked  in: 10) 9)  2 5

  14. Find to 4 sig. figs the unknowns in the following diagrams: 11) 12)

  15. Homework • 10A, pg 318 • #1 • 10B.1, pg 319 • #1ace • 10B.2, pg 321 • #2acegi, 3ac • 10B.3, pg 323 • #1 acegi, 2a

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