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Right Triangle Trigonometry

Right Triangle Trigonometry. Three Basic Trig Ratios: sin θ = opposite/hypotenuse cos θ = adjacent/hypotenuse tan θ = opposite/adjacent. Hypotenuse. Opposite side. Adjacent Side. Find the sine, cosine and tangent of angle A. Round your answers to the nearest ten thousandth. 10.1 cm.

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Right Triangle Trigonometry

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  1. Right Triangle Trigonometry Three Basic Trig Ratios: sin θ = opposite/hypotenuse cos θ = adjacent/hypotenuse tan θ = opposite/adjacent Hypotenuse Opposite side Adjacent Side

  2. Find the sine, cosine and tangent of angle A. Round your answers to the nearest ten thousandth. 10.1 cm 4.5 cm sin A = cos A = tan A = 4.5 / 10.1 ≈ 0.4455 9 / 10.1 ≈ 0.8911 4.5 / 9 ≈ 0.5000 A 9 cm

  3. Use a calculator to find the value of each trigonometric ratio to the nearest ten thousandth. Make sure your calculator is in degree mode. 1. sin 45° ≈ 2. cos 47° ≈ 3. tan 48° ≈ 0.7071 0.6820 1.1106

  4. Use a calculator to find the measure of each angle to the nearest degree. *Remember to use the 2nd button prior to typing the trig button. • A ≈ 49° • A ≈ 67° • B ≈ 46° • A ≈ 41° • C ≈ 63° • B ≈ 89° • sin A = 0.7547 • tan A = 2.3456 • cos B = 0.6947 • sin A = 0.6589 • tan C = 1.9832 • cos B = 0.0136

  5. Solve the triangle for all sides and angles. Round the sides to the nearest tenth and angles to nearest degree. B Mark what you are given 30 20 90° A = a = B = b = C = c = 56° c = a = 30 34° 36.1 C A b = 20 To find c, use Pythagorean Theorem: 302 + 202 = c2 Next find A:tan A = 30/20 Last find B:180° – 90° – 56° =

  6. Solve the triangle for all sides and angles. Round the sides to the nearest tenth and angles to nearest degree. B Mark what you are given 53° 90° 50 A = a = B = b = C = c = 39.9 c = 50 a = 37° 30.1 53° C A b = Find B:180° – 90° – 53° = Last find b:cos 53° = b / 50 Next find a:sin 53° = a / 50

  7. Solve the triangle for all sides and angles. Round the sides to the nearest tenth and angles to nearest degree. Mark what you are given 56° 15 90° B A = a = B = b = C = c = c = 34° 10.1 a = 15 18.1 56° C A b = Find B:180° – 90° – 56° = Next find b:tan 56° = 15 / bso, b = 15 / tan 56° Last find c:sin 56° = 15 / cso c = 15 / sin 56°

  8. Reciprocal Functions Three Basic Trig Functions: sin θ cos θ tan θ Three Reciprocal Trig Functions: csc θ = hypotenuse/opposite sec θ = hypotenuse/adjacent cot θ = adjacent/opposite

  9. Find all six trigonometric functions for angle β. β 3 4

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