Trigonometric Ratios of Special Angles Quiz
Trigonometric Ratios of Special Angles Quiz
Test your knowledge of trigonometric ratios and special angles with this engaging 15-question quiz designed for Mathematics 9 students!
Topics covered include:
- 30°-60°-90° triangles
- 45°-45°-90° triangles
- Trigonometric fun
ctions like sine, cosine, and tangent
In a 30°-60°-90° right triangle, suppose the hypotenuse is 10√3, how long is the longer leg?
A. 15
B. 5√3
C. 5√2 inches
D. 25
In a 45°-45°-90° right triangle, suppose the hypotenuse is 5√2, how long are the legs (b)?
A. 5 inches
B. 5√3 inches
C. 5√2 inches
D. 20 inches
In a 30°-60°-90°, which side is the shortest?
A. The hypotenuse
B. The side opposite the 60 angle
C. The side opposite the 30 angle
D. The included side of the acute angles
In a 30°-60°-90° special right triangle what is the relation of the hypotenuse (c) to its shortest side (a)?
A. c = 2a
B. c = 2√a
C. c = a√2
D. c = 2√3
In a 30°-60°-90° special right triangle what is the relation of the hypotenuse (c) to its shortest side (a)?
A. c = 2a
B. c = 2√a
C. c = a√2
D. c = 2√3
What is the exact value of the trigonometric ratio sin 60ᵒ?
A. 1/2
B. √2/2
C. √3/2
D. √3/3
What is the exact value of the trigonometric ratio cos 45ᵒ?
A. 1/2
B. √2/2
C. √3/2
D. √3/3
What is the exact value of the trigonometric ratio tan 30ᵒ?
A. 1/2
B. √2/2
C. √3/2
D. √3/3
What if the value of x in figure 1?
figure 1
A. 6√3
B. 6√2
C. 6
D. 3
What is the value of 2(sin30°) – tan 45°?
A. 2
B. 1
C. 0
D. -1
What is the exact value of cos 30° + sin 60°?
A. 0
B. 1
C. √2
D. √3
What is the estimated value for y in figure 2?
A. 7
B. 9
C. 7√5
D. 7√6
What is the value of the trigonometric expression sin 30°(cos 60° + cos 30° sin 60°?
A. 0
B. 1
C. 1/2
D.2
What is the value of the trigonometric expression sin 60° (tan 30°)?
A. 0
B. 1
C. 1/2
D.2
Suppose is a 30°-60°-90° right triangle, if z (hypotenuse) = 6√3 what is y(longer leg)?
figure 3
A. 3√3
B. 4√3
C. 6
D. 9
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