# Session 17 Warm up: Find the missing measures. Session 17 Warm up: Find the missing measures. Write all answers in radical form. 45 30 x 7 10

z 45 w 60 y Math Strategies Ms. Olifer The Trigonometric Functions we will be looking at SINE

COSINE TANGENT The Trigonometric Functions SINE COSINE TANGENT SINE Prounounce d sign

COSINE Prounounce d co-sign TANGENT Prounounce d tangent Greek Letter Prounounce d theta Represents an unknown angle

opposite opposite We need a way to remember all of these ratios Old Some Old Hippie Came A

Hoppin Through Our Apartmen SOHCAHTOA Old Sin Opp Hyp Cos Adj Hyp

Tan Opp Adj Finding sin, cos, and tan opp Sin hyp Adj Cos Hyp SOHCAHTOA

8 10 4 5 10 8 3 6 10 5

Opp 8 4 Tan Adj 6 3 6 Find the sine, the cosine, and the tangent of angle A. Give a fraction and decimal answer opp (round 9 to 4 sin A

places). .8333 10.8 9 A 6 hypo 10.8

adj 6 cos A hypo 10.8 opp tan A adj 9 6 .5555

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

3 opp 4 adj 3 opp 4 sin cos tan hyp 5 hyp 5 adj 3 Find the sine, the cosine, and the tangent of angle A B

24.5 8.2 A 23.1 Give a fraction and decimal answer (round to 4 decimal places). opp 8.2 sin A .3347

24 . 5 hypo adj 23.1 cos A hypo 24.5 .9429 opp tan A adj 8.2

23.1 .3550 Finding a side Ex. 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? opp tan 71.5 adj

? 71.5 50 y tan 71.5 50 y = 50 (tan 71.5) y = 50 (2.98868) y 149.4 ft Ex. 5 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? cos 60 x (cos 60) = 200 200 60 x x X = 400 yards