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# SohCahToa - Designed by Emily Freeman McEachern High School...

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Designed by: Emily Freeman McEachern High School 2400 New Macland Rd Powder Springs, GA 30127

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Warm – up : Find the missing measures. Write all answers in radical form. 45° 45° x w 7 60° 30° 10 y z Session 17
The Trigonometric Functions we will be looking at SINE COSINE TANGENT 13.4 & 13.5

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The Trigonometric Functions SIN E COS INE TAN GENT
SIN E Prounounced “sign”

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Prounounced “co-sign” COS INE
Prounounced “tan-gent” TAN GENT

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Prounounced “theta” Greek Letter θ Represents an unknown angle
θ opposite hypotenuse Sin Opp Hyp = adjacent Cos Adj Hyp = Tan Opp Adj = opposite

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We need a way to remember all of these ratios…
Old Hippie Some Old Hippie Came A Hoppin’ Through Our Apartment

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SOH CAH TOA Old Hippie Sin Opp Hyp Cos Adj Hyp Tan Opp Adj
Finding sin, cos, and tan

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θ 6 8 10 SOH CAH TOA 10 8 10 6 6 8 Opp Hyp Cos Adj Hyp θ = Tan Opp Adj θ = = 4 5 = 3 5 = 4 3
Find thesine, thecosine, and thetangent of angle A. Givea fraction and decimal answer (round to 4 places). hypo opp A = sin 8 . 10 9 = 8333 . hypo adj A = cos 8 . 10 6 = 5555 . adj opp A = tan 6 9 = 5 . 1 9 6 10.8 A

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Find the values of the three trigonometric functions of θ . 4 3 ? Pythagorean Theorem: (3)² + (4)² = c² 5 = c opp hyp = 4 5 = adj hyp

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