2. Twenty Questions Subject: Right Triangle Trigonometry

3. Twenty Questions (press the arrow button on each slide to return to this page after you have pressed any key to view the correct answer). 12345 678910 1112131415 1617181920

4. 1. What is the equivalence of sine on a right triangle? Opposite over Hypotenuse

5. 2. What is the equivalence of cosine on a right triangle? Adjacent over hypotenuse

6. 3. What is the equivalence of tangent on a right triangle? Opposite over adjacent

7. 4. On a right triangle, if side a= 3 and side b= 2 what is tan( θ)? 3/2

8. 5. On the unit circle, think about the angle at п/3. What is equal to cos(п/3)? ½

9. 6. What is the cofunction of sin( θ )? Cos(90°- θ)

10. 7. What is the cofunction of tan( θ )? Cot(90 °- θ )

11. 8. Describe the triangle used to find the trigonometric functions of 45°. Two sides (a and b) are equal to 1 and the hypotenuse is equal to the square root of 2.

12. 9. Recite the cofunction of cos( θ ). sin(90 °- θ)

13. 10. Do you remember the Pythagorean theorem? If so, state it and describe how it is used. a 2 +b 2 =c 2. The Pythagorean theorem is used to find the side lengths of right triangles.

14. 11. Find the value of sin and cos if the sides of a triangle are as follows: a= 1, b=2, and c= 5 sin ( θ )= 1/5 Cos( θ )= 2/5

15. 12. Identify the equivalence of the trigonometric function cot. Adjacent/opposite

16. 13. Identify the equivalence of the trigonometric function sec. Hypotenuse/ adjacent

17. 14. If a=5 and b=12 what is c? What is sin? C=13 Sin( θ )=5/13

18. 15. Using a= 3, b= 4, c= 5, what is the value of tan and cot? Tan=3/4 Cot=4/3

19. 16. Compare and contrast tan and cot They are reciprocals of each other.

20. 17. What is the equivalence of csc? Hypotenuse/opposite

21. 18. What can you get solely from the fact that a right triangle has sides of b=25 and c=24? Cos( θ )=25/24 a= 7

22. 19. Identify the cofunction of sin(7°). Cos(83°)

23. 20. Identify the cofunction of tan( п /9). Cot(7 п /18)