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).
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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)