1. Bell Work 1.Find all coterminal angles with 125° 1.Find a positive and a negative coterminal angle with 315°. 1.Give the reference angle for 212°. 1.Find the missing measures. 13 x 8 10.3 2.1 x

2. 5.2 Trigonometric Ratios in Right Triangles

3. What is a ratio? 3 The ratio of side AB to side BC can be written as 3 to 4, 3:4, or ¾. (We will use the fraction form) A comparison of two numbers 5 3 4 C B A

4. Trigonometric ratios Sine (sin) Cosine (cos) Tangent (tan) Cosecant (csc) Secant (sec) Cotangent (cot)

5. Radical Review √8 √588 7 √3 25 √15

6. Trigonometric Ratios B Sin C = Opposite Hypotenuse Cos C = Adjacent Hypotenuse Tan C = Opposite Adjacent A C

7. Find the values of the sine, cosine, and tangent for < B. Sin B = opposite = hypotenuse Cos B = Adjacent = hypotenuse Tan B = Opposite = adjacent 3√85 18 33 C B A

8. Find the values of sine, cosine, and tangent for < A sin A = Cos A = tan A = 17 15 8 C B A

9. Reciprocal Trig Ratios What is a reciprocal? What is the reciprocal of ⅓? What is the reciprocal of ⅔? What is the reciprocal of ⅘ ?

10. Reciprocal Trig Ratios csc α = 1 sin α sec α = 1 cos α cot α = 1 tan α NOTE: α represents an unknown angle measure

11. Reciprocal Trig Ratios If cos α = ½, then sec α = ____ If sin α = ¾, then csc α = ______ If cot α = 2, then tan α= _______ If csc α =.35, then sin α = _____

12. Find the six trigonometric ratios for <P. sin P = csc P = cos P = sec P = tan P = cot P = P MN 10 7 √149

13. Find the six trigonometric ratios for <E. sin E = csc E = cos E = sec E = tan E= cot E = D E F 73

14. Special Right Triangles 30-60-90

15. Special Right Triangles 45-45-90

16. Find x and y.

19. 12

20. Find x and y.

22. ACT Prep A man is walking his dog on level ground in a straight line with a tree. The angle of elevation from the man’s present position to the top of a nearby telephone pole is 30°. The angle of elevation from the tree to the top of the telephone pole is 45°. If the telephone pole is 40 feet tall, how far is the man with the dog from the tree?

23. ACT prep cont… A.1.7 feet B.29.3 feet C.42.3 feet D.17.8 feet

24. More ACT Prep Dec 2007 ACT

25. Use a calculator to find each 1.sin 52° 2.tan 37° 3.sec 123° 4.cot 41°37’ 5.csc 21°15’19” 6.cos 83°51’37”

26. EXIT PASS Find the EXACT value. 1.cos A 2.tan B 3.csc A A B C 20 m 6 m