Angle Measurement and Trigonometric Functions Quiz

Test your knowledge with 17 questions on right angles, trigonometric functions, radians, and more. Challenge yourself now!

#1

What is the measure of a right angle?

90 degrees
45 degrees
180 degrees
360 degrees
#2

What is the trigonometric function used to find the ratio of the length of the side opposite an angle to the length of the hypotenuse?

Sine
Cosine
Tangent
Cosecant
#3

What is the radian measure of a full circle?

π radians
2π radians
3π radians
4π radians
#4

Which trigonometric function is the reciprocal of sine?

Cosine
Cosecant
Secant
Tangent
#5

In a right triangle, what is the relationship between the lengths of the two legs?

They are equal
One leg is always longer than the other
They are always in a ratio of 1:2
They depend on the specific triangle
#6

Which of the following is not a trigonometric function?

Cosecant
Cotangent
Secant
Decimal
#7

In a right triangle, if one angle is 30 degrees, what is the measure of the other acute angle?

60 degrees
90 degrees
120 degrees
45 degrees
#8

What is the period of the trigonometric function y = sin(x)?

π
π/2
1
#9

What is the coterminal angle of -300 degrees?

60 degrees
300 degrees
420 degrees
660 degrees
#10

What is the period of the trigonometric function y = cos(2x)?

π
π/2
#11

What is the reference angle for an angle of -150 degrees?

150 degrees
30 degrees
210 degrees
60 degrees
#12

What is the amplitude of the trigonometric function y = 3sin(x)?

1
3
π
#13

If cos(θ) = 0.5, what is the value of θ in degrees?

30 degrees
60 degrees
45 degrees
90 degrees
#14

If sin(θ) = 0.8, what is the value of θ in radians?

0.927 radians
1.047 radians
1.369 radians
1.570 radians
#15

If tan(θ) = 2, what is the value of θ in degrees?

60 degrees
45 degrees
30 degrees
75 degrees
#16

If sec(θ) = 2, what is the value of θ in radians?

π/3 radians
π/4 radians
π/6 radians
π/2 radians
#17

If csc(θ) = 3, what is the value of θ in degrees?

30 degrees
45 degrees
60 degrees
90 degrees

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