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Find the missing measures. Write all answers in radical form. 60° 30° 10 y z Warm – up 3 45 y 60 30 x 45

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Math II UNIT QUESTION: What patterns can I find in right triangles? Standard: MM2G1, MM2G2 Today’s Question: What is a trigonometric ratio? Standard: MM2G2.a,b

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The Trigonometric Functions we will be looking at SINE COSINE TANGENT 5.2 & 5.3

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The Trigonometric Functions SINE COSINE TANGENT

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SINE Pronounced “sign”

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Pronounced “co-sign” COSINE

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Pronounced “tan-gent” TANGENT

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Prounounced “theta” Greek Letter Represents an unknown angle

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opposite hypotenuse adjacent hypotenuse opposite adjacent

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We need a way to remember all of these ratios…

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Old Hippie Some Old Hippie Came A Hoppin’ Through Our Apartment

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SOHCAHTOA Old Hippie Sin Opp Hyp Cos Adj Hyp Tan Opp Adj

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Or there’s the famous Indian Chief, Chief SOH CAH TOA Sin = Opp/Hyp Cos = Adj/Hyp Tan = Opp/Adj

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Finding sin, cos, and tan. (Just writing a ratio or decimal.)

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Find the sine, the cosine, and the tangent of angle A. Give a fraction and decimal answer (round to 4 places). 9 6 10.8 A Shrink yourself down and stand where the angle is. Now, figure out your ratios.

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Find the sine, the cosine, and the tangent of angle A A 24.5 23.1 8.2 Give a fraction and decimal answer (round to 4 decimal places). Shrink yourself down and stand where the angle is. Now, figure out your ratios.

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Finding an angle. (Figuring out which ratio to use and getting to use the 2 nd button and one of the trig buttons.)

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Ex. 1: Find . Round to four decimal places. 9 17.2 Make sure you are in degree mode (not radians). 2 nd tan 17.29) Shrink yourself down and stand where the angle is. Now, figure out which trig ratio you have and set up the problem.

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Ex. 2: Find . Round to three decimal places. 23 7 Make sure you are in degree mode (not radians). 2 nd cos 723)

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Ex. 3: Find . Round to three decimal places. 400 200 Make sure you are in degree mode (not radians). 2 nd sin 200400)

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Right Triangle Trig: Solving for a Missing Side. Trigonometric Ratios We define the 3 trigonometric ratios in terms of fractions of sides of right angled.

Right Triangle Trig: Solving for a Missing Side. Trigonometric Ratios We define the 3 trigonometric ratios in terms of fractions of sides of right angled.

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