Question 1

Use the symmetry of the circle and reference arcs as needed to state the exact value of cot $\pi$ . A diagram may help.

Accepted Answer

A)  1 
B)  0 
C)  -1 
D)  undefined 
A)  1 
B)  0 
C)  -1 
D)  undefined

Question 2

Use the following to answer questions :
The data in the table can be modeled using the function y = A tan(Bx).
  
-State the period of the function.

Accepted Answer

A)  4 
B)  8 
C)  16 
D)  32 
A)  4 
B)  8 
C)  16 
D)  32

Question 3

State the value of t without the use of a calculator, given t $\in$ [0, 2?) terminates in QII. cot t =

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 4

Without using a calculator, find the value of t in [0, 2π) that corresponds to sin t =   with t in QII.

Accepted Answer

The answer of Without using a calculator, find the value...

Question 5

Convert from decimal degrees to DMS (degree/minute/sec) notation. 100.05°

Accepted Answer

A)  100°1′ 
B)  100°3′ 
C)  100°5′ 
D)  100°7′ 
A)  100°1′ 
B)  100°3′ 
C)  100°5′ 
D)  100°7′

Question 6

A simple pendulum 22 inches in length is oscillating in harmonic motion. The bob at the end of the pendulum swings through an arc of 20 inches (from the far left to the far right, or one-half cycle) in about 0.4 seconds. What is the equation model for this harmonic motion?

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 7

Use the following to answer questions :
y = 20 sin   + 320
-Identify the period (P).

Accepted Answer

A)  P =   
B)  P = 40 
C)  P = 20 
D)  P = 40$\pi$ 
A)  P =   
B)  P = 40 
C)  P = 20 
D)  P = 40$\pi$

Question 8

Use the following to answer questions :
The wheels on a vehicle have a radius of 29 inches and are turning at 250 revolutions per minute.
-What is the linear velocity of the wheels in miles per hour?

Accepted Answer

A)  about 64.8 mi/hr 
B)  about 65.2 mi/hr 
C)  about 65.6 mi/hr 
D)  about 66.9 mi/hr 
A)  about 64.8 mi/hr 
B)  about 65.2 mi/hr 
C)  about 65.6 mi/hr 
D)  about 66.9 mi/hr

Question 9

Verify that the point   is on the unit circle, then use symmetry to find three more points on the circle.

Accepted Answer

The answer of Verify that the point   is...

Question 10

Use the formula for arc length to find the value of the unknown quantity: s = r$\theta$.  
$\theta$=   ; r = 93 km

Accepted Answer

A)  s = 310$\pi$ km 
B)  s =   km 
C)  s = 155$\pi$ km 
D)  s =   km 
A)  s = 310$\pi$ km 
B)  s =   km 
C)  s = 155$\pi$ km 
D)  s =   km

Question 11

Use a calculator to find the acute angle A whose corresponding ratio is given. Round to the nearest tenth of a degree. cot A = 0.7456

Accepted Answer

A)  76.8° 
B)  13.2° 
C)  1.6° 
D)  53.3° 
A)  76.8° 
B)  13.2° 
C)  1.6° 
D)  53.3°

Question 12

Use the following to answer questions :
y = 20 sin   + 320
-Identify the endpoints of the primary interval (PI).

Accepted Answer

A)  PI:   $\le$ t <
  
B)  PI:   $\le$ t <
  
C)  PI: -8 $\le$ t < 88 
D)  PI: 8 $\le$ t < 104 
A)  PI:   $\le$ t <
  
B)  PI:   $\le$ t <
  
C)  PI: -8 $\le$ t < 88 
D)  PI: 8 $\le$ t < 104

Question 13

Without using a calculator, find the value of t in [0, 2?) that corresponds to sin t = -1. t is a quadrantal angle.

Accepted Answer

A)  0 
B)    
C) .$\pi$ 
D)    
A)  0 
B)    
C) .$\pi$ 
D)

Use the symmetry of the circle and reference arcs as needed to state the exact value of cot $\pi$ . A diagram may help.

Use the following to answer questions : The data in the table can be modeled using the function y = A tan(Bx). -State the period of the function.

State the value of t without the use of a calculator, given t $\in$ [0, 2?) terminates in QII. cot t = $State the value of t without the use of a calculator, given t \in [0, 2?) terminates in QII. cot t =$

Without using a calculator, find the value of t in [0, 2π) that corresponds to sin t = with t in QII.

Convert from decimal degrees to DMS (degree/minute/sec) notation. 100.05°

A simple pendulum 22 inches in length is oscillating in harmonic motion. The bob at the end of the pendulum swings through an arc of 20 inches (from the far left to the far right, or one-half cycle) in about 0.4 seconds. What is the equation model for this harmonic motion?

Use the following to answer questions : y = 20 sin + 320 -Identify the period (P).

Use the following to answer questions : The wheels on a vehicle have a radius of 29 inches and are turning at 250 revolutions per minute. -What is the linear velocity of the wheels in miles per hour?

Verify that the point is on the unit circle, then use symmetry to find three more points on the circle.

Use the formula for arc length to find the value of the unknown quantity: s = r $\theta$ . $\theta$ = $Use the formula for arc length to find the value of the unknown quantity: s = r \theta . \theta = ; r = 93 km$ ; r = 93 km

Use a calculator to find the acute angle A whose corresponding ratio is given. Round to the nearest tenth of a degree. cot A = 0.7456

Use the following to answer questions : y = 20 sin + 320 -Identify the endpoints of the primary interval (PI).

Without using a calculator, find the value of t in [0, 2?) that corresponds to sin t = -1. t is a quadrantal angle.

Equations and Inequalities

Relations, Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Identities, Inverses, and Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Analytical Geometry

Additional Topics in Algebra

Bridges to Calculus - an Introduction to Limits

Review of Basic Concepts and Skills

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Exam 5: Introduction to Trigonometric Functions

Use the symmetry of the circle and reference arcs as needed to state the exact value of cot π\piπ . A diagram may help.

Use the following to answer questions : The data in the table can be modeled using the function y = A tan(Bx). -State the period of the function.

State the value of t without the use of a calculator, given t ∈\in∈ [0, 2?) terminates in QII. cot t =

Without using a calculator, find the value of t in [0, 2π) that corresponds to sin t = with t in QII.

Convert from decimal degrees to DMS (degree/minute/sec) notation. 100.05°

A simple pendulum 22 inches in length is oscillating in harmonic motion. The bob at the end of the pendulum swings through an arc of 20 inches (from the far left to the far right, or one-half cycle) in about 0.4 seconds. What is the equation model for this harmonic motion?

Use the following to answer questions : y = 20 sin + 320 -Identify the period (P).

Use the following to answer questions : The wheels on a vehicle have a radius of 29 inches and are turning at 250 revolutions per minute. -What is the linear velocity of the wheels in miles per hour?

Verify that the point is on the unit circle, then use symmetry to find three more points on the circle.

Use the formula for arc length to find the value of the unknown quantity: s = r θ\thetaθ . θ\thetaθ = ; r = 93 km

Use a calculator to find the acute angle A whose corresponding ratio is given. Round to the nearest tenth of a degree. cot A = 0.7456

Use the following to answer questions : y = 20 sin + 320 -Identify the endpoints of the primary interval (PI).

Without using a calculator, find the value of t in [0, 2?) that corresponds to sin t = -1. t is a quadrantal angle.

Equations and Inequalities

Relations, Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Identities, Inverses, and Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Analytical Geometry

Additional Topics in Algebra

Bridges to Calculus - an Introduction to Limits

Review of Basic Concepts and Skills

Filters

Use the symmetry of the circle and reference arcs as needed to state the exact value of cot $\pi$ . A diagram may help.

State the value of t without the use of a calculator, given t $\in$ [0, 2?) terminates in QII. cot t = $State the value of t without the use of a calculator, given t \in [0, 2?) terminates in QII. cot t =$

Use the formula for arc length to find the value of the unknown quantity: s = r $\theta$ . $\theta$ = $Use the formula for arc length to find the value of the unknown quantity: s = r \theta . \theta = ; r = 93 km$ ; r = 93 km