Question 1

Graph the function.
-$$y = \sin \left( x - \frac { \pi } { 2 } \right)$$

Accepted Answer

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

Question 2

Convert the radian measure to degrees. Round to the nearest hundredth if necessary.
-$- 6 \pi$

Accepted Answer

A)  $- 1080 ^ { \circ }$ 
B)  $- 540 ^ { \circ }$ 
C)  $- 1260 ^ { \circ }$ 
D)  $- 2160 ^ { \circ }$ 
A)  $- 1080 ^ { \circ }$ 
B)  $- 540 ^ { \circ }$ 
C)  $- 1260 ^ { \circ }$ 
D)  $- 2160 ^ { \circ }$

Question 3

Find the exact circular function value.
-$$\tan \frac { 5 \pi } { 4 }$$

Accepted Answer

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

Question 4

Determine the equation of the graph.
-

Accepted Answer

A)  $y = 2 + \csc x$ 
B)  $y = 2 - \csc x$ 
C)  $y = 2 + \sec x$ 
D)  $y = 2 + \sec 2 x$ 
A)  $y = 2 + \csc x$ 
B)  $y = 2 - \csc x$ 
C)  $y = 2 + \sec x$ 
D)  $y = 2 + \sec 2 x$

Question 5

Find the specified quantity.
-Find the amplitude of $y = - 2 \sin ( 3 x + \pi )$

Accepted Answer

A)  3 
B)  $- 6$ 
C)  2 
D)  $\pi$ 
A)  3 
B)  $- 6$ 
C)  2 
D)  $\pi$

Question 6

Solve the problem
-A wheel with a 19 -inch diameter is turning at the rate of 54 revolutions per minute. To the nearest inch, what is the speed of a point on the rim in in./min?

Accepted Answer

A)  3276 in. $/ \mathrm { min }$ 
B)  $3230 \mathrm { in } . / \mathrm { min }$ 
C)  $3269 \mathrm { in } . / \mathrm { min }$ 
D)  $3223 \mathrm { in } . / \mathrm { min }$ 
A)  3276 in. $/ \mathrm { min }$ 
B)  $3230 \mathrm { in } . / \mathrm { min }$ 
C)  $3269 \mathrm { in } . / \mathrm { min }$ 
D)  $3223 \mathrm { in } . / \mathrm { min }$

Graph the function. - $y = \sin \left( x - \frac { \pi } { 2 } \right)$ $Graph the function. - y = \sin \left( x - \frac { \pi } { 2 } \right)$

Convert the radian measure to degrees. Round to the nearest hundredth if necessary. - $- 6 \pi$

Find the exact circular function value. - $\tan \frac { 5 \pi } { 4 }$

Determine the equation of the graph. -

Find the specified quantity. -Find the amplitude of $y = - 2 \sin ( 3 x + \pi )$

Solve the problem -A wheel with a 19 -inch diameter is turning at the rate of 54 revolutions per minute. To the nearest inch, what is the speed of a point on the rim in in./min?

Review of Basic Concepts

Equations and Inequalities

Graphs and Functions

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Trigonometric Functions

Trigonometric Identities and Equations

Applications of Trigonometry

Systems and Matrices

Analytic Geometry

Further Topics in Algebra

Filters

Exam 7: The Circular Functions and Their Graphs

Graph the function. - y=sin⁡(x−π2)y = \sin \left( x - \frac { \pi } { 2 } \right)y=sin(x−2π​)

Convert the radian measure to degrees. Round to the nearest hundredth if necessary. - −6π- 6 \pi−6π

Find the exact circular function value. - tan⁡5π4\tan \frac { 5 \pi } { 4 }tan45π​