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Published byMervyn Lucas Modified over 7 years ago

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Trigonometry

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Basic Ratios Find the missing Law of Sines Law of Cosines Special right triangles 100 200 300 400 500

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What is the acronym we use to remember trig functions?

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SOH CAH TOA

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Sin θ

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Sin θ = 5/13

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Tan θ=6/8=3/4

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Write the ratio you would use to find x

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Cos θ = x / 11

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What ratio would you create given the information?

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Cos θ = 4 / 5

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Find x

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Tan 32 = x / 13 X = 8.1°

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Find x

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Cos 37 = 11 / x X = 13.7

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Find θ

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Cos -1 ( 4.4/11) θ = 66.4°

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Find θ

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Tan -1 ( 7.7 / 14) θ = = 28.8°

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Find all the missing parts of the triangle

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What is the law of sines?

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Sin A = Sin B = Sin C a b c

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Set up the ratio for AB in the following triangle

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Sin 53 = Sin 44 X 7

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Solve for angle b

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Sin b = Sin 115 16 123 B = 6.8°

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Find BC

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Sin 29 = Sin 93 16 X X = 33

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Draw the triangle. Solve for the missing pieces m ∠ C = 145° b = 7 c = 33

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m ∠ A = 28° m ∠ B = 7° a = 27

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What is the traditional law of cosines?

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Set up the formula to find BC

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x 2 = 30 2 + 21 2 – 2(30)(21)cos123

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Solve for AB

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AB = 21

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Find the measure of angle A

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A = 137°

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Solve the triangle

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What are the two special right triangles?

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30 – 60 – 90 45 – 45 – 90

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What is the relationship between the side lengths in a 45 – 45- 90 triangle?

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The legs are the same The hypotenuse is Leg√2

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What is the relationship between the side lengths of a 30 – 60 – 90 triangle?

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Long leg = SL√3 Hypotenuse = 2 * SL

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Solve for x and y

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