Question 1

Find the trigonometric form of the complex number shown below.  
 -8

Accepted Answer

A)   $8 \left( \cos \frac { 3 \pi } { 2 } + i \sin \frac { 3 \pi } { 2 } \right)$ 
B)   $8 \left( \cos \frac { \pi } { 4 } + i \sin \frac { \pi } { 4 } \right)$ 
C)   $8 \left( \cos \frac { \pi } { 2 } + i \sin \frac { \pi } { 2 } \right)$ 
D)   $8 ( \cos 0 + i \sin 0 )$ 
E)  $8 ( \cos \pi + i \sin \pi )$ 
A)   $8 \left( \cos \frac { 3 \pi } { 2 } + i \sin \frac { 3 \pi } { 2 } \right)$ 
B)   $8 \left( \cos \frac { \pi } { 4 } + i \sin \frac { \pi } { 4 } \right)$ 
C)   $8 \left( \cos \frac { \pi } { 2 } + i \sin \frac { \pi } { 2 } \right)$ 
D)   $8 ( \cos 0 + i \sin 0 )$ 
E)  $8 ( \cos \pi + i \sin \pi )$

Question 2

Plot the complex number and find its absolute value.  
-5 + 9i

Accepted Answer

A)     |-5 + 9i| = $2 \sqrt { 19 }$ 
B)      |-5 + 9i| = $2 \sqrt { 7 }$ 
C)       |-5 + 9i| = $\sqrt { 106 }$ 
D)      |-5 + 9i| = $\sqrt { 22 }$ 
E)      |-5 + 9i| = $\sqrt { 86 }$ 
A)     |-5 + 9i| = $2 \sqrt { 19 }$ 
B)      |-5 + 9i| = $2 \sqrt { 7 }$ 
C)       |-5 + 9i| = $\sqrt { 106 }$ 
D)      |-5 + 9i| = $\sqrt { 22 }$ 
E)      |-5 + 9i| = $\sqrt { 86 }$

Question 3

Find the absolute value of the complex number -3 + 5i.

Accepted Answer

A)  $2 \sqrt { 2 }$ 
B)   $4 \sqrt { 34 }$ 
C)  34 
D)   $\sqrt { 34 }$ 
E)   $4 \sqrt { 2 }$ 
A)  $2 \sqrt { 2 }$ 
B)   $4 \sqrt { 34 }$ 
C)  34 
D)   $\sqrt { 34 }$ 
E)   $4 \sqrt { 2 }$

Question 4

Find the absolute value of the complex number $8 + 2 i$ .

Accepted Answer

A)   $\sqrt { 10 }$ 
B)   $3 \sqrt { 10 }$ 
C)  68 
D)   $4 \sqrt { 10 }$ 
E)   $2 \sqrt { 17 }$ 
A)   $\sqrt { 10 }$ 
B)   $3 \sqrt { 10 }$ 
C)  68 
D)   $4 \sqrt { 10 }$ 
E)   $2 \sqrt { 17 }$

Find the trigonometric form of the complex number shown below. -8

Plot the complex number and find its absolute value. -5 + 9i

Find the absolute value of the complex number -3 + 5i.

Find the absolute value of the complex number $8 + 2 i$ .

Functions and Their Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometry

Analytic Trigonometry

Systems Of Equations and Inequalities

Matrices and Determinants

Sequences Series and Probability

Topics In Analytic Geometry

Analytic Geometry In Three Dimensions

Limits and An Introduction To Calculus

Filters

Exam 6: Additional Topics In Trigonometery

Find the trigonometric form of the complex number shown below. -8

Plot the complex number and find its absolute value. -5 + 9i

Find the absolute value of the complex number -3 + 5i.

Find the absolute value of the complex number 8+2i8 + 2 i8+2i .

Functions and Their Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometry

Analytic Trigonometry

Systems Of Equations and Inequalities

Matrices and Determinants

Sequences Series and Probability

Topics In Analytic Geometry

Analytic Geometry In Three Dimensions

Limits and An Introduction To Calculus

Filters

Find the absolute value of the complex number $8 + 2 i$ .