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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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Agenda for today Wed More 5.2 & 5.3 and 5.4 Fri Test Unit #4 1.Notes SOHCAHTOA 2.CW/HW 1.Notes SOHCAHTOA 2.CW/HW Thur Sect 5.4 cont and applications

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Date: 09/29/09 Questions over hw? Standards:MA2G2:a: Discover the relationship of the trigonometric ratios for similar triangles. Students will define and apply sine, cosine, and tangent ratios to right triangles.

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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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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) 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 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 a side. (Figuring out which ratio to use and getting to use a trig button.)

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Ex: 1 Figure out which ratio to use. Find x. Round to the nearest tenth. 20 m x tan 2055 ) 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 the missing side. Round to the nearest tenth. 80 ft x tan 8072 = ( ) ) 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: 3 Find the missing side. Round to the nearest tenth. 283 m x 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: 4 Find the missing side. Round to the nearest tenth. 20 ft x

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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 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 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 Make sure you are in degree mode (not radians). 2 nd sin )

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When we are trying to find a side we use sin, cos, or tan. When we are trying to find an angle we use sin -1, cos -1, or tan -1.

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