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Notes - Trigonometry *I can solve right triangles in real world situations using sine, cosine and tangent. *I can solve right triangles in real world situations using inverse sine,cosine and tangent.

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Understanding Opp, Adj, & Hyp In order to understand how to use the trigonometric functions of sine, cosine, and tangent you must understand opp, adj, and hyp

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A C B Opposite Side Adjacent Side Hypotenuse (hyp) (opp) (adj)

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A C B Opposite Side Adjacent Side Hypotenuse (hyp) (opp) (adj)

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Three basic trig functions: Sine, Cosine and Tangent

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SOHCAHTOA

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SOH Sin A = Opposite Hypotenuse

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A C B This is what a problem using sine would look like. X 12 m 42 You would set the problem up like this: Sin A = Sin 42 = opp hyp x 12

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SOHCAHTOA CAH Cos A = Hypotenuse Adjacent

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A C B This is what a problem using cosine would look like. X 9 m 38 You would set the problem up like this: cos A = cos 38 = adj hyp x 9

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SOHCAHTOA TOA Tan A = Opposite Adjacent

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A C B This is what a problem using cosine would look like. X 11 m 52 You would set the problem up like this: tan A = tan 52 = opp adj 11 x

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Some Old Horse Caught A Horse Taking Oats Away

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Example 4: Solve for x. a)Which trig ratio is needed to solve for x? b)Determine opp, adj, & hyp. c)Write the equation and solve. R S T x 10 25

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Example 5: Solve for x. a)Which trig ratio is needed to solve for x? b)Determine opp, adj, & hyp. c)Write the equation and solve. J K L x 26 75

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A C B Example 3: Solve for x. X 9 m 44

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A C B Example 2: Solve for x. X 23 m 64

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A C B Example 1: Solve for x. X 25 m 34

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