Question 1

Convert the angle to degrees, minutes, and seconds.&#10;

Accepted Answer

D

Question 2

Convert the angle to degrees, minutes, and seconds.&#10;

Accepted Answer

To convert degrees to radians, use the formula $\theta_{radians} = \theta_{degrees} \times \frac{\pi}{180}$. For $210^\circ$, it is $210 \times \frac{\pi}{180} = \frac{7\pi}{6}$.

Question 3

Convert the angle to degrees, minutes, and seconds.&#10;

Accepted Answer

B

Question 4

Convert the angle to degrees, minutes, and seconds.&#10;

Accepted Answer

To convert degrees to radians, use the conversion factor $\frac{\pi}{180}$. Thus, $36^\circ = 36 \times \frac{\pi}{180} = \frac{\pi}{5}$.

Question 5

Convert the angle to degrees, minutes, and seconds.&#10;

Accepted Answer

To convert degrees to radians, use the formula radians = degrees × (π / 180). Thus, $11.52^\circ \times \frac{\pi}{180} \approx 0.2011$.

Question 6

Convert the angle to degrees, minutes, and seconds.&#10;

Accepted Answer

To convert degrees to radians, use the formula: radians = degrees × (π/180). For 292.41°, the conversion is 292.41 × (π/180) ≈ 5.1035 radians. However, the question seems to be about converting to degrees, minutes, and seconds, where 0.41° is approximately 24' 41''.

Question 7

11eb7f42_bda2_6ea9_897e_057298b7ed7b_TB8181_00

Accepted Answer

136°54'53" = 136° + (54/60)° + (53/3600)° = 136.9147° ≈ 136.91°

Question 8

Convert the radian measure to degree measure. Use the value of found on a calculator and round answers to two&#10;decimal places.&#10;

Accepted Answer

To convert radians to degrees, multiply by $180/\pi$. Thus, $\pi/6$ radians equals $(\pi/6) \times (180/\pi) = 30$ degrees.

Question 9

11eb7f42_bda2_4797_897e_2ff4f5330965_TB8181_00

Accepted Answer

To convert $51^\circ 26'$ to decimal degrees, divide the minutes by 60 (since there are 60 minutes in a degree): $26' \div 60 = 0.433$. Adding this to the degrees gives $51 + 0.433 = 51.433^\circ$, which rounds to $51.43^\circ$.

Question 10

Convert the angle to degrees, minutes, and seconds.&#10;

Accepted Answer

To convert degrees to radians, use the formula radians = degrees × (π / 180). For 216°, it's 216 × (π / 180) = 1.2π = $\frac { 6 \pi } { 5 }$.

Question 11

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Accepted Answer

The answer of 11eb7f42_bda2_95bd_897e_e943b1fedc19_TB8181_00...

Question 12

11eb7f42_bda2_6ea8_897e_a95bcc4eac07_TB8181_00

Accepted Answer

The answer of 11eb7f42_bda2_6ea8_897e_a95bcc4eac07_TB8181_00...

Question 13

Convert the angle to degrees, minutes, and seconds.&#10;

Accepted Answer

The answer of Convert the angle to degrees, minutes, and...

Question 14

11eb7f42_bda2_6eac_897e_db344404c32e_TB8181_00

Accepted Answer

The answer of 11eb7f42_bda2_6eac_897e_db344404c32e_TB8181_00...

Question 15

Convert the angle to degrees, minutes, and seconds.&#10;

Accepted Answer

The answer of Convert the angle to degrees, minutes, and...

Question 16

Convert the angle to degrees, minutes, and seconds.&#10;

Accepted Answer

The answer of Convert the angle to degrees, minutes, and...

Question 17

11eb7f42_bda2_6eab_897e_19e2bb6c45eb_TB8181_00

Accepted Answer

The answer of 11eb7f42_bda2_6eab_897e_19e2bb6c45eb_TB8181_00...

Question 18

Convert the angle to degrees, minutes, and seconds.&#10;

Accepted Answer

The answer of Convert the angle to degrees, minutes, and...

Question 19

11eb7f42_bda2_6eaa_897e_633966428382_TB8181_00

Accepted Answer

The answer of 11eb7f42_bda2_6eaa_897e_633966428382_TB8181_00...

Question 20

Convert the angle to degrees, minutes, and seconds.&#10;

Accepted Answer

The answer of Convert the angle to degrees, minutes, and...

Question 21

Use the arc length formula and the given information to find the indicated quantity.&#10;

Accepted Answer

The answer of Use the arc length formula and the...

Question 22

Use the arc length formula and the given information to find the indicated quantity.&#10;

Accepted Answer

The answer of Use the arc length formula and the...

Question 23

Solve the problem.&#10;

Accepted Answer

The answer of Solve the problem.&#10; ...

Question 24

Convert the radian measure to degree measure. Use the value of found on a calculator and round answers to two&#10;decimal places.&#10;

Accepted Answer

The answer of Convert the radian measure to degree measure....

Question 25

Find the angle in degrees that describes the compass bearing.&#10;

Accepted Answer

The answer of Find the angle in degrees that describes...

Question 26

Convert the radian measure to degree measure. Use the value of found on a calculator and round answers to two&#10;decimal places.&#10;

Accepted Answer

The answer of Convert the radian measure to degree measure....

Question 27

Find the angle in degrees that describes the compass bearing.&#10;

Accepted Answer

The answer of Find the angle in degrees that describes...

Question 28

Use the arc length formula and the given information to find the indicated quantity.&#10;

Accepted Answer

The answer of Use the arc length formula and the...

Question 29

Convert the radian measure to degree measure. Use the value of found on a calculator and round answers to two&#10;decimal places.&#10;

Accepted Answer

The answer of Convert the radian measure to degree measure....

Question 30

Find the angle in degrees that describes the compass bearing.&#10;

Accepted Answer

The answer of Find the angle in degrees that describes...

Question 31

Use the arc length formula and the given information to find the indicated quantity.&#10;

Accepted Answer

The answer of Use the arc length formula and the...

Question 32

Find the angle in degrees that describes the compass bearing.&#10;

Accepted Answer

The answer of Find the angle in degrees that describes...

Question 33

Find the angle in degrees that describes the compass bearing.&#10;

Accepted Answer

The answer of Find the angle in degrees that describes...

Question 34

Solve the problem.&#10;

Accepted Answer

The answer of Solve the problem.&#10; ...

Question 35

Solve the problem.&#10;

Accepted Answer

The answer of Solve the problem.&#10; ...

Question 36

Solve the problem.&#10;

Accepted Answer

The answer of Solve the problem.&#10; ...

Question 37

Use the arc length formula and the given information to find the indicated quantity.&#10;

Accepted Answer

The answer of Use the arc length formula and the...

Question 38

Convert the radian measure to degree measure. Use the value of found on a calculator and round answers to two&#10;decimal places.&#10;

Accepted Answer

The answer of Convert the radian measure to degree measure....

Question 39

Find the angle in degrees that describes the compass bearing.&#10;

Accepted Answer

The answer of Find the angle in degrees that describes...

Question 40

Convert the radian measure to degree measure. Use the value of found on a calculator and round answers to two&#10;decimal places.&#10;

Accepted Answer

The answer of Convert the radian measure to degree measure....

Question 41

Solve the problem.&#10;

Accepted Answer

The answer of Solve the problem.&#10; ...

Question 42

Solve the problem.&#10;

Accepted Answer

The answer of Solve the problem.&#10; ...

Question 43

Solve the problem.&#10;

Accepted Answer

The answer of Solve the problem.&#10; ...

Question 44

Solve the problem.&#10;

Accepted Answer

The answer of Solve the problem.&#10; ...

Question 45

Assume that is an acute angle in a right triangle satisfying the given conditions. Evaluate the indicated trigonometric&#10;function.&#10;

Accepted Answer

The answer of Assume that is an acute angle in...

Question 46

Solve the problem.&#10;

Accepted Answer

The answer of Solve the problem.&#10; ...

Question 47

Solve the problem.&#10;

Accepted Answer

The answer of Solve the problem.&#10; ...

Question 48

Find the exact values of the indicated trigonometric functions. Write fractions in lowest terms.&#10;

Accepted Answer

The answer of Find the exact values of the indicated...

Question 49

Solve the problem.&#10;

Accepted Answer

The answer of Solve the problem.&#10; ...

Question 50

Assume that is an acute angle in a right triangle satisfying the given conditions. Evaluate the indicated trigonometric&#10;function.&#10;

Accepted Answer

The answer of Assume that is an acute angle in...

Question 51

Assume that is an acute angle in a right triangle satisfying the given conditions. Evaluate the indicated trigonometric&#10;function.&#10;

Accepted Answer

The answer of Assume that is an acute angle in...

Question 52

Find the exact values of the indicated trigonometric functions. Write fractions in lowest terms.&#10;

Accepted Answer

The answer of Find the exact values of the indicated...

Question 53

Assume that is an acute angle in a right triangle satisfying the given conditions. Evaluate the indicated trigonometric&#10;function.&#10;

Accepted Answer

The answer of Assume that is an acute angle in...

Question 54

Solve the problem.&#10;

Accepted Answer

The answer of Solve the problem.&#10; ...

Question 55

Find the exact values of the indicated trigonometric functions. Write fractions in lowest terms.&#10;

Accepted Answer

The answer of Find the exact values of the indicated...

Question 56

Solve the problem.&#10;

Accepted Answer

The answer of Solve the problem.&#10; ...

Question 57

Assume that is an acute angle in a right triangle satisfying the given conditions. Evaluate the indicated trigonometric&#10;function.&#10;

Accepted Answer

The answer of Assume that is an acute angle in...

Question 58

Find the exact values of the indicated trigonometric functions. Write fractions in lowest terms.&#10;

Accepted Answer

The answer of Find the exact values of the indicated...

Question 59

Find the exact values of the indicated trigonometric functions. Write fractions in lowest terms.&#10;

Accepted Answer

The answer of Find the exact values of the indicated...

Question 60

Assume that is an acute angle in a right triangle satisfying the given conditions. Evaluate the indicated trigonometric&#10;function.&#10;

Accepted Answer

The answer of Assume that is an acute angle in...

Question 61

Use a calculator to find the function value to four decimal places.&#10;

Accepted Answer

The answer of Use a calculator to find the function...

Question 62

Assume that is an acute angle in a right triangle satisfying the given conditions. Evaluate the indicated trigonometric&#10;function.&#10;

Accepted Answer

The answer of Assume that is an acute angle in...

Question 63

Use a calculator to find the function value to four decimal places.&#10;

Accepted Answer

The answer of Use a calculator to find the function...

Question 64

Use a calculator to find the function value to four decimal places.&#10;

Accepted Answer

The answer of Use a calculator to find the function...

Deck 4: Trigonometric Functions