Pre-Calc

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What are the two possible measures of the angle below?

-90° and 630°

Angle T has a measure between 0° and 360° and is coterminal with a -710° angle. What is the measure of angle T?

10°

Which expression finds the measure of an angle that is coterminal with a 126° angle?

126° + (720n)°, for any integer n

Which of the following represents the measures of all angles coterminal with a -220° angle?

140 + 360n, for any integer n

A circle has a central angle measuring 7pi/10 radians that intersects an arc of length 33 cm.

15 cm

Which expression can be used to determine the reference angle for an angle, x, measuring 150°?

180 - x

In the right triangle below, TanA = 0.45. What is the approximate length of AB?

22 units

What is the value of sin theta in the diagram below?

24/25

What is the measure of angle A in the triangle below?

30 degrees

Which is the measure of the reference angle for -210 degrees?

30 degrees

Which expression finds the measure of an angle that is coterminal with a 300° angle?

300° - 720°

What is the approximate degree measure of angle A in the triangle below?

37.9

Which of the following are in the correct order from least to greatest?

3pi/10, 60, pi/2...

For which value of theta is sin theta = -1?

3pi/2

Which expression finds the measure of an angle that is coterminal with a 45° angle?

45° + 360°

What is 720° converted to radians?

4pi

The radius of the circle below intersects the unit circle at (3/5, 4/5). What is the approximate value of theta?

53.1 degrees.

What is the approximate length of arc s on the circle below? Use 3.14 for pi. Round your answer to the nearest tenth.

6.3 in.

Use the unit circle to find tan 30

rad3/3

What is the value of tan theta in the unit circle below?

rad3/3

In the triangle below, 4/5 represents which ratio?

sinC

What is the reciprocal of tanB in the triangle below?

tanA

Which of the following is true of the location of the terminal side of an angle, theta, whose sine value is 1/2?

theta has a reference angle of 30 and is in Quadrant I or II

Angle x is coterminal with angle y. If the measure of angle x is greater than the measure of angle y, which statement is true regarding the values of x and y?

x = y + 360n, for any positive integer n

Which of the following is true of the values of x and y in the diagram below?

y/x = 1

What is the approximate degree measure of angle B in the triangle below?

73.7

Determine the value of cos 79 15

A

Determine the vlue of cos 79 15

A

If cot theta = 1.5, find tan theta.

A

Use the unit circle t o find the value of csc (90)

A

Which angle has a positive measure?

A

Which is the angle measure represented by 3 rotations clockwise?

A

Which is the angle measure represented by 7.5 rotations clockwise?

A

Use the unit circle to find csc 270

C

What is -36 degrees converted to radians?

C

What is pi/3 radians converted to degrees?

C

Which angle is in standard position?

C

Which expression converts 45 degrees to radians?

C

Which of the following best explains why cos2pi/3 =/ cos5pi/3?

Cosine is negative in the second quadrant and positive in the fourth quadrant.

Determine the value of sin 52 47

D

Find the values of the six trigonometric functions of an angle in standard position if the point with coordinates (12, 5) lies on its terminal side.

D

If cot theta = 4/3, find csc theta

D

If cot theta = 4/3, find csc theta.

D

Use the unit circle to find cot (-180)

D

Which values for theta have the same reference angles?

D

If cos theta = 0, then sec theta = 0

F

An angle whose measure is 40° is in standard position. In which quadrant does the terminal side of the angle fall?

Quadrant I

An angle whose measure is -102° is in standard position. In which quadrant does the terminal side of the angle fall?

Quadrant III

A circle has a central angle of 6 radians that intersects an arc of length 14 in. Which equation finds the length of the radius, r, of the circle?

B

A circle has a radius of 5 ft, and an arc of length 7 ft is made by the intersection of the circle with a central angle. Which equation gives the measure of the central angle, theta?

B

Change 270.58 degrees to degrees, minutes, and seconds.

B

Determine the three reciprocal trigonometric ratios of the angle.

B

Find the least positive angle measurement that is coterminal with -20 degrees.

B

Give the angle measure represented by 4.5 rotation counterclockwise.

B

If -798 is in standard position, determine a coterminal angle that is between 0 & 360 and state the quadrant in which the terminal side lies.

B

If tan theta = 3/4, find sin theta

B

On a unit circle, the vertical distance from the x-axis to a point on the perimeter of the circle is twice the horizontal distance from the y-axis to the same point. What is sin theta?

B

The sides of which diagram are correctly labeled with respect to angle A?

B

Use the unit circle to find cot 225

B

Use the unit circle to find the value of tan (-180)

B

Which equation can be used to determine the reference angle, r, if theta = 7pi/12?

B

Which equation can be used to find B in the triangle below?

B

Which expression converts pi/4 radians to degrees?

B

Change 95.61 degrees to degrees, minutes, and seconds.

C

Change 95.61 to degrees, minutes, and seconds.

C

Find the least positive angle measurement that is coterminal with -230 degrees.

C

Find the value of the cosine for angle A

C

Find the values of the six trigonometric functions of an angle in standard position if the point with coordinates (6,-5) lies on its terminal side.

C

The hard disk of a computer spins at 256 rotations per second. How many degrees does the hard disk pass through in one second?

C

For the triangle ABC, determine if the following statement is True or False.

T

If tan(k 90) = 0 then k is an even integer.

T

Which of the following best explains why tan5pi/6 =/ tan5pi/3

The angles do not have the same reference angle.


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