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SOH-CAH-TOA. Warm – up: Find the missing measures. Write all answers in radical form. 45° x w 7 60° 30° 10 y z.

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Presentation on theme: "SOH-CAH-TOA. Warm – up: Find the missing measures. Write all answers in radical form. 45° x w 7 60° 30° 10 y z."— Presentation transcript:

1 SOH-CAH-TOA

2 Warm – up: Find the missing measures. Write all answers in radical form. 45° x w 7 60° 30° 10 y z

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

4 The Trigonometric Functions SINE COSINE TANGENT

5 SINE Prounounced sign

6 Prounounced co-sign COSINE

7 Prounounced tan-gent TANGENT

8 Prounounced theta Greek Letter Represents an unknown angle

9 opposite hypotenuse adjacent hypotenuse opposite adjacent

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

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

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

13 Finding SIN, COS, and TAN

14 SOHCAHTOA

15 Find the sine, the cosine, and the tangent of angle A. Give a fraction and decimal answer (round to 4 places) A

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

17 Find the sine, the cosine, and the tangent of angle A A B Give a fraction and decimal answer (round to 4 decimal places).

18 Finding a Side

19 A surveyor is standing 50 feet from the base of a large tree. The surveyor measures the angle of elevation to the top of the tree as 71.5°. How tall is the tree? ° ? tan 71.5° y = 50 (tan 71.5°) y = 50 ( )

20 A person is 200 yards from a river. Rather than walk directly to the river, the person walks along a straight path to the rivers edge at a 60° angle. How far must the person walk to reach the rivers edge? 200 x 60° cos 60° x (cos 60°) = 200 x X = 400 yards


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