Question 1

Convert the degree measure to radians, correct to four decimal places. Use $$\text { Use } 3.1416 \text { for } \pi \text {. }$$
-22°20´

Accepted Answer

A) 0.2898 
B) 0.1898 
C) 0.4898 
D) 0.3898 
A) 0.2898 
B) 0.1898 
C) 0.4898 
D) 0.3898

Question 2

Solve the problem.
-Each tire of an automobile has a radius of 1.25 feet. How many revolutions per minute (rpm)does a tire make when the automobile is traveling at a speed of 115 feet per sec? Round your answer to the
Nearest tenth.

Accepted Answer

A) 14.6 rpm 
B) 878.5 rpm 
C) 1372.7 rpm 
D) 1757.1 rpm 
A) 14.6 rpm 
B) 878.5 rpm 
C) 1372.7 rpm 
D) 1757.1 rpm

Question 3

Solve the problem.
-The temperature in Verlander is modeled by $\mathrm { T } ( \mathrm { x } ) = 40 \sin \left[ \frac { 2 \pi } { 365 } ( \mathrm { x } - 102 ) \right] + 46$ where $\mathrm { T } ( \mathrm { x } )$ is the temperature in degrees Fahrenheit on day $x$, with $x = 1$ representing January 1 and $x = 365$ representing December 31. Find the temperature on May 20 .

Accepted Answer

A)  $83 ^ { \circ } \mathrm { F }$ 
B)  $64 { } ^ { \circ } \mathrm { F }$ 
C)  $72 ^ { \circ } \mathrm { F }$ 
D)  $70 ^ { \circ } \mathrm { F }$ 
A)  $83 ^ { \circ } \mathrm { F }$ 
B)  $64 { } ^ { \circ } \mathrm { F }$ 
C)  $72 ^ { \circ } \mathrm { F }$ 
D)  $70 ^ { \circ } \mathrm { F }$

Question 4

4
Provide an appropriate response.
-Describe how an angle measure can be converted from radians to degrees.

Accepted Answer

A)  Multiply the degree measure by $\frac { 360 ^ { \circ } } { \pi }$. 
B)  Multiply the degree measure by $\frac { 180 ^ { \circ } } { \pi }$. 
C)  Multiply the degree measure by $\frac { \pi } { 90 ^ { \circ } }$. 
D)  Multiply the degree measure by $\frac { \pi } { 180 ^ { \circ } }$. 
A)  Multiply the degree measure by $\frac { 360 ^ { \circ } } { \pi }$. 
B)  Multiply the degree measure by $\frac { 180 ^ { \circ } } { \pi }$. 
C)  Multiply the degree measure by $\frac { \pi } { 90 ^ { \circ } }$. 
D)  Multiply the degree measure by $\frac { \pi } { 180 ^ { \circ } }$.

Question 5

Solve the problem.
-What is the difference in area covered by a single 12-inch windshield wiper operating with a central angle of 126° compared to a pair of 2-inch wipers operating together each having a central
Angle of 108°? Round to the nearest hundredth.

Accepted Answer

A)  $155.80$ in. $^ { 2 }$ 
B)  $165.88$ in. $^ { 2 }$ 
C)  $154.57 \mathrm { in } ^ { 2 }$ 
D)  $150.80$ in. 2 
A)  $155.80$ in. $^ { 2 }$ 
B)  $165.88$ in. $^ { 2 }$ 
C)  $154.57 \mathrm { in } ^ { 2 }$ 
D)  $150.80$ in. 2

Question 6

Find the specified quantity.
-If the radius of a circle is doubled, how is the length of the arc intercepted by a fixed central
angle changed?

Accepted Answer

The answer of Find the specified quantity.
-If the radius of...

Question 7

Find the exact value without using a calculator.
-$$\sin \frac { 5 \pi } { 3 }$$

Accepted Answer

A)  $\frac { \sqrt { 3 } } { 2 }$ 
B)  $- 1$ 
C)  $- \frac { 1 } { 2 }$ 
D)  $- \frac { \sqrt { 3 } } { 2 }$ 
A)  $\frac { \sqrt { 3 } } { 2 }$ 
B)  $- 1$ 
C)  $- \frac { 1 } { 2 }$ 
D)  $- \frac { \sqrt { 3 } } { 2 }$

Convert the degree measure to radians, correct to four decimal places. Use $\text { Use } 3.1416 \text { for } \pi \text {. }$ -22°20´

Solve the problem. -Each tire of an automobile has a radius of 1.25 feet. How many revolutions per minute (rpm)does a tire make when the automobile is traveling at a speed of 115 feet per sec? Round your answer to the Nearest tenth.

4 Provide an appropriate response. -Describe how an angle measure can be converted from radians to degrees.

Solve the problem. -What is the difference in area covered by a single 12-inch windshield wiper operating with a central angle of 126° compared to a pair of 2-inch wipers operating together each having a central Angle of 108°? Round to the nearest hundredth.

Find the specified quantity. -If the radius of a circle is doubled, how is the length of the arc intercepted by a fixed central angle changed?

Find the exact value without using a calculator. - $\sin \frac { 5 \pi } { 3 }$

Trigonometric Functions

Acute Angles and Right Triangles

Graphs of the Circular Functions

Trigonometric Identities

Inverse Circular Functions and Trigonometric Equations

Applications of Trigonometry and Vectors

Complex Numbers, Polar Equations, and Parametric Equations

Filters

Exam 3: Radian Measure and the Unit Circle

Convert the degree measure to radians, correct to four decimal places. Use Use 3.1416 for π. \text { Use } 3.1416 \text { for } \pi \text {. } Use 3.1416 for π. -22°20´