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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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Presentation on theme: "Find the missing measures. Write all answers in radical form. 60° 30° 10 y z Warm – up 3 45  y 60  30  x 45 "— Presentation transcript:

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

2 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

3 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.

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

5 The Trigonometric Functions SINE COSINE TANGENT

6 SINE Pronounced “sign”

7 Pronounced “co-sign” COSINE

8 Pronounced “tan-gent” TANGENT

9 Prounounced “theta” Greek Letter  Represents an unknown angle

10 opposite hypotenuse adjacent hypotenuse opposite adjacent

11 We need a way to remember all of these ratios…

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

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

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

15 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.

16 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.

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

18 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.

19 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.

20 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.

21 Ex: 4 Find the missing side. Round to the nearest tenth. 20 ft x

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

23 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.

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

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

26 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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