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Section 4.3 handout ann_1

# Section 4.3 handout ann_1 - Section 4.3 Right Triangle...

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Section 4.3 Right Triangle Trigonometry, Page 1 Section 4.3 Right Triangle Trigonometry, Page 1

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Section 4.3 Right Triangle Trigonometry, Page 2 Section 4.3: Right Triangle Trigonometry 1) Using Right Triangles to Evaluate Trigonometric Functions . a. Abbreviations: (sine = sin, cosine = cos, tangent = tan, cotangent = cot, secant = sec, cosecant = csc) b. Trigonometric definitions: sin θ = opposite csc θ = hypotenuse hypotenuse opposite cos θ = adjacent sec θ = hypotenuse hypotenuse adjacent tan θ = opposite cot θ = adjacent adjacent opposite c. The Pythagorean Theorem: a 2 + b 2 = c 2 , where C is the right angle. d. Find the value of the six trigonometric functions of  θ  for the triangle below. sin θ = __________________ cos θ = __________________ tan θ = __________________ csc θ = __________________ sec θ = __________________ cot θ = __________________ Section 4.3 Right Triangle Trigonometry, Page 2 adjacent =  b θ A C B opposite a = 5 hypotenuse   c adjacent b = 12 θ A C B opposite a hypotenuse = c
Section 4.3 Right Triangle Trigonometry, Page 3 2) Find function values for 30 ° ( π /6), 45 ° ( π /4), and 60 ° ( π

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Section 4.3 handout ann_1 - Section 4.3 Right Triangle...

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