1. SinΘ--Cos Θ--Tan Θ

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

3. The Trigonometric Functions
SINE
COSINE
TANGENT

4. SINE
Prounounced “sign”

5. Prounounced “co-sign”
COSINE
Prounounced “co-sign”

6. Prounounced “tan-gent”

7. Represents an unknown angle
Greek Letter q
Prounounced “theta”
Represents an unknown angle

8. hypotenuse
hypotenuse
opposite
opposite
adjacent
adjacent

9. We need a way to remember all of these ratios…

10. Old
Hippies
Are
High On
Old Hippie
Acid

11. Sin
SOHCAHTOA
Opp
Hyp
Cos
Adj
Hyp
Tan
Opp
Adj
Old Hippie

12. Finding sin, cos, and tan

13. SOHCAHTOA 10 8 6

14. 10.8 9 A 6 Find the sine, the cosine, and the tangent of angle A.
Give a fraction and decimal answer (round to 4 places).
10.8 9 A 6

15. ? 5 4 3 Pythagorean Theorem: (3)² + (4)² = c² 5 = c
Find the values of the three trigonometric functions of . ?
Pythagorean Theorem: 5 4
(3)² + (4)² = c²
5 = c 3

16. 24.5 8.2 23.1 Find the sine, the cosine, and the tangent of angle A
Give a fraction and decimal answer (round to 4 decimal places). B
24.5
8.2 A
23.1

17. Finding a side

18. 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?
tan 71.5° ?
tan 71.5°
71.5°
y = 50 (tan 71.5°) 50
y = 50 ( )

19. 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 river’s edge at a 60° angle. How far must the person walk to reach the river’s edge?
cos 60°
x (cos 60°) = 200
200
60° x x
X = 400 yards