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Trigonometry

Trigonometry. 8-5 The Tangent Ratio. The Tangent ratio . Right triangle trigonometry Three ratios: Tangent of an angle ( tanA ) Sine of an angle ( sinA ) Cosine of an angle ( cosA ) Tangent of  A (one of the acute angles). B. opposite leg. A. C. adjacent leg. Tangent of angle A.

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Trigonometry

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  1. Trigonometry 8-5 The Tangent Ratio

  2. The Tangent ratio • Right triangle trigonometry • Three ratios: • Tangent of an angle (tanA) • Sine of an angle (sinA) • Cosine of an angle (cosA) • Tangent of A (one of the acute angles) B opposite leg A C adjacent leg

  3. Tangent of angle A B opposite leg A C adjacent leg

  4. ExAMPLES: find the following ratios • Find tan X • Find tan Y • Find tan 30° • Find tan 60° 30° Z 8 15 X Y 17 6

  5. Table of trigonometric ratios (p. 311)

  6. Find the value of y to the nearest tenth. y 56 32

  7. The grade of a road is the ratio of its rise to its run and is usually given as a decimal or percent. Find the angle that the road makes with the horizontal if its grade is 4%. rise grade = run rise x run tan x = 0.0400

  8. Practice Assignment • CW: p. 306 1-9, p. 309, 19 • HW: p. 308-310 2-26 even, 29

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