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CHAPTER 4 TRIGONOMETRIC FUNCTIONS

Jungeun Park. Reem Malak. CHAPTER 4 TRIGONOMETRIC FUNCTIONS. MARY OGUNKORODE. Section 3 Right Triangle Trigonometry. THE RIGHT TRIANGLE. Hypotenuse. Opposite to θ. (. θ. Adjacent to θ. The Six Trigonometric Functions. 1. Sine (sin) 2. Cosecant (csc) 3. Cosine (cos)

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CHAPTER 4 TRIGONOMETRIC FUNCTIONS

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  1. Jungeun Park Reem Malak CHAPTER 4TRIGONOMETRIC FUNCTIONS MARY OGUNKORODE Section 3 Right Triangle Trigonometry

  2. THE RIGHT TRIANGLE Hypotenuse Opposite to θ ( θ Adjacent to θ

  3. The Six Trigonometric Functions 1. Sine (sin) 2. Cosecant (csc) 3. Cosine (cos) 4. Secant (sec) 5. Tangent (tan) 6. Cotangent (cot)

  4. Right Triangle Definitions of Trigonometric Functions sin θ = opp/hyp cos θ = adj/hyp tan θ =opp/adj csc θ = hyp/opp sec θ = hyp/adj cot θ =adj/opp

  5. Example #1 (Booyakasha!) SOLUTION By the Pythagorean Theorem, (hyp)^2 = (opp)^2 + (adj)^2 hyp = sin θ = opp/hyp = 12/15 = 4/5 csc θ = hyp/opp = 5/4 cos θ = adj/hyp = 3/5 sec θ = hyp/adj = 5/3 tan θ = opp/adj = 4/3 cot θ = adj/opp = 3/4 Hypotenuse 12 θ 9

  6. Do it yourself! Solve for the missing side using the Pythagorean Theorem. Then find the six trigonometric functions. 25 20

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