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1 Press Ctrl-A ©G Dear2008 – Not to be sold/Free to use Sine Ratio Stage 4 Year 9

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2 Hypotenuse Opposite Opposite Click Sin θ = OppositeHypotenuse θ θ Trig Ratios

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3 13 12 Sin θ = OppositeHypotenuseP QR 5 Sin P = 12 13 Sin R = 5 13 Trig Ratios

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4 26 P Q R 10 Sin A = 12 13 13 12 A B 5 C Sin P = 24 26 = 12 13 22222222 Sin C = 5 13 Sin R = 10 26 = 5 13 22222222 24 Trig Ratios Sin θ = OppositeHypotenuse

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5 6 30 o m sin 30 o = m 6 6x x6 m = 6 x sin 30 o = 3 Use your Calculator! Trig Ratios Sin θ = OppositeHypotenuse

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6 10 60 o d sin 60 o = d 10 10xx10 10 x sin 60 o ≈ 8.66 Use your Calculator! d = Trig Ratios Sin θ = OppositeHypotenuse

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7 k 40 o 6 sin 40 o = 6 k kx xk = 6 k x sin 40 o ≈ 9.33 Use your Calculator! Sin 40 o Sin 40 o k = 6 sin 40 o Trig Ratios Sin θ = OppositeHypotenuse

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8 12 zozozozo 6 sin z o = 6 12 zo =zo =zo =zo = sin -1 ( ) Use your Calculator! = 30 o 612 Trig Ratios Sin θ = OppositeHypotenuse

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9 15 momomomo 5 sin m o = 5 15 mo =mo =mo =mo = sin -1 ( ) Use your Calculator! ≈ 20 o 515 To nearest whole degree Trig Ratios Sin θ = OppositeHypotenuse

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10 S Some O Old H Hags ------ C Can A Always H Hide ------ T Their O Old A Age S Sin O Opposite H Hypotenuse ------ C Cos A Adjacent H Hypotenuse ------ T Tan O Opposite A Adjacent

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Lesson 8-6 The Sine and Cosine Ratios (page 312) The sine ratio and cosine ratio relate the legs to the hypotenuse. How can trigonometric ratios be used.

Lesson 8-6 The Sine and Cosine Ratios (page 312) The sine ratio and cosine ratio relate the legs to the hypotenuse. How can trigonometric ratios be used.

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