Twenty Questions

Subject: Right Triangle Trigonometry

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).

1 2 3 4 5

6 7 8 9 10

11 12 13 14 15

16 17 18 19 20

1. What is the equivalence of sine on a right triangle?

Opposite over Hypotenuse

2. What is the equivalence of cosine on a right triangle?

Adjacent over hypotenuse

3. What is the equivalence of tangent on a right triangle?

Opposite over adjacent

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

3/2

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

½

6. What is the cofunction of sin(θ)?

Cos(90°- θ)

7. What is the cofunction of tan(θ)?

Cot(90 °- θ)

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.

9. Recite the cofunction of cos(θ).

sin(90 °- θ)

10. Do you remember the Pythagorean theorem? If so, state it and describe how it is used.

a2+b2=c2 . The Pythagorean theorem is used to find the

side lengths of right triangles.

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

12. Identify the equivalence of the trigonometric function cot.

Adjacent/opposite

13. Identify the equivalence of the trigonometric function sec.

Hypotenuse/ adjacent

14. If a=5 and b=12 what is c? What is sin?

C=13 Sin(θ)=5/13

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

Tan=3/4 Cot=4/3

16. Compare and contrast tan and cot

They are reciprocals of each other.

17. What is the equivalence of csc?

Hypotenuse/opposite

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

19. Identify the cofunction of sin(7°).

Cos(83°)

20. Identify the cofunction of tan(п/9).

Cot(7п/18)