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Angle Measurement and Trigonometric Functions Quiz

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What is the measure of a right angle?

90 degrees

Explanation

A right angle measures 90 degrees.

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

Explanation

Sine calculates this ratio.

What is the radian measure of a full circle?

2π radians

Explanation

A full circle measures 2π radians.

Which trigonometric function is the reciprocal of sine?

Cosecant

Explanation

Cosecant is the reciprocal of sine.

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

They depend on the specific triangle

Explanation

Leg lengths vary based on the triangle.

Which of the following is not a trigonometric function?

Decimal

Explanation

Decimal is not a trigonometric function.

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

60 degrees

Explanation

The sum of angles in a triangle is 180 degrees.

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

2π

Explanation

The period of sine is 2π.

What is the coterminal angle of -300 degrees?

420 degrees

Explanation

Adding or subtracting multiples of 360 degrees gives coterminal angles.

#10

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

2π

Explanation

The period of cosine is 2π.

#11

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

30 degrees

Explanation

Reference angle is measured from the nearest x-axis.

#12

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

Explanation

Amplitude is the coefficient of the function.

#13

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

45 degrees

Explanation

Cosine of 45 degrees equals 0.5.

#14

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

1.047 radians

Explanation

Inverse sine of 0.8 is approximately 1.047 radians.

#15

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

75 degrees

Explanation

Inverse tangent of 2 is approximately 75 degrees.

#16

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

π/6 radians

Explanation

Inverse secant of 2 is π/6 radians.

#17

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

60 degrees

Explanation

Inverse cosecant of 3 is 60 degrees.

Angle Measurement and Trigonometric Functions Quiz

What is the measure of a right angle?

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?

What is the radian measure of a full circle?

Which trigonometric function is the reciprocal of sine?

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

Which of the following is not a trigonometric function?

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

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

What is the coterminal angle of -300 degrees?

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

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

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

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

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

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

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

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

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