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The Trigonometric Functions we will be looking at SINE COSINE TANGENT.

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Presentation on theme: "The Trigonometric Functions we will be looking at SINE COSINE TANGENT."— Presentation transcript:

1 The Trigonometric Functions we will be looking at SINE COSINE TANGENT

2 The Trigonometric Functions SINE COSINE TANGENT

3 SINE Pronounced “sign”

4 Pronounced “co-sign” COSINE

5 Pronounced “tan-gent” TANGENT

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

7 opposite hypotenuse adjacent hypotenuse opposite adjacent

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

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

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

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

12 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.

13 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.

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

15 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.

16 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.

17 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.

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

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

20 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.

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

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

23 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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