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The Sine Law How to use sine law to find the angles and lengths of triangles.

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ab A c B C = Sin ASin B ab The basics of Sine Law

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5.9m (a) 7.8m (b) c B C A = Sin ASin B ab = Sin 36˚Sin B 5.97.8 36 ˚ =SinB x 5.9(Sin36˚)(7.8) =SinB(Sin36˚)(7.8) 5.9 =**
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**

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=

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EX 2 θ θ E C B A 15.6m 36.0m = Sin BSin C bc = Sin θSin140˚ 15.636.0 Θ= sinˉ¹ (15.6)(sin140˚) 36.0 N Θ=16˚

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Try this one out 115˚ 16m 49m A C B C

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= Sin ASin115˚ 1649 A= Sinˉ¹ (sin115˚)(16) 49 A= 31˚ C=180-(31+115) C= 180 - 146 C=34˚ = Sin ASin C ac = Sin31˚Sin34˚ 16c = Sin31˚ 16 cSin34˚ x -20.95 = c

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Class Work 1.Sketch a right triangle that has acute angle , and find the five other trig ratios of . 2.Evaluate the expression without using a calculator.

Class Work 1.Sketch a right triangle that has acute angle , and find the five other trig ratios of . 2.Evaluate the expression without using a calculator.

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