Find the Value of the Sine, Cosine, and Tangent Functions for Q

Name______Date______Class______Practice A Right-Angle Trigonometry Find the value of the sine, cosine, and tangent functions for .

1. Write and simplify the fractions. opp. a. sin    ______hyp. adj. b. cos    ______hyp. opp. c. tan    ______adj.

2. 3. 4.

______Use a trigonometric function to find the value of x. 5. a. Choose the function. ______b. Substitute given values. ______c. Evaluate the trigonometric ratio for the angle measure.______d. Solve the proportion for x. ______

6. 7. 8.

______Solve.

9. A conveyor belt leads from the ground to a barn door 24 feet high. The angle between the belt and the ground is 32°. What is the length of the conveyor belt to the nearest foot? ______

Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Algebra 2 Name______Date______Class______RIGHT-ANGLE TRIGONOMETRY 10. 47 ft 11. 162 ft 12. 4817 m Practice A 48 24 Practice C 1. a. sin   50 25 7 24 7 4 3 4 1. ; ; 2. ; ; 14 7 25 25 24 5 5 3 b. cos   50 25 60 11 60 3. ; ; 4. 20 3 48 24 61 61 11 c. tan   14 7 5. 3.4 3 6. 16 3 4 3 9 40 9 7 24 2. , , 3. , , 7. sin ; cos   ; 5 5 4 41 41 40 25 25 12 5 12 7 25 4. , , tan ; csc   ; 13 13 5 24 7 5.a. Cosine 25 24 sec ; cot   x 24 7 b. cos 45  12 2 12 5 8. sin ; cos   ; 2 13 13 c. cos 45  12 13 2 tan ; csc   ; d. x  12 5 12 13 5 6. 10 7. 8 sec ; cot   5 12 8. 9 9. 45 ft 10 15 Practice B 9. sin ; cos   ; 5 5 4 3 4 9 40 9 1. ; ; 2. ; ; 6 10 5 5 3 41 41 40 tan ; csc   ; 3 2 12 5 12 3. ; ; 4. 6 3 15 6 13 13 5 secq= ; cot q = 3 2 44 3 5. 6. 7 10. 83.5 ft 11. 287 ft 3 12. 2350 m 12 5 12 7. sin ; cos   ; tan   13 13 5 Reteach 13 13 5 3 4 3 csc ; sec   ; cot   1. 12 5 12 5 5 4 3 4 3 12 5 12 8. sin ; cos   ; tan   2. 5 5 4 13 13 5 5 5 4 8 15 8 csc ; sec   ; cot   3. 3 4 3 17 17 15 9 40 9 9. sin ; cos   ; tan   41 41 40 41 41 40 csc ; sec   ; cot   9 40 9