Question

1. Solve the inequality sin x > −1/ 2 . Express the exact answer in interval notation, restricting your attention to −π ≤ x ≤ π.

2. The voltage V in an alternating current source has amplitude 220√2 and frequency f = 50 Hertz. Find a sinusoid which models this voltage. Assume that the phase is 0.

3. A hiker determines the bearing to a lodge from her current position is S40 degrees W. She proceeds to hike 2 miles at a bearing of S35 degrees E at which point she determines the bearing to the lodge is S60 degrees W. How far is she from the lodge at this point? Round your answer to the nearest hundredth of a mile.

4. Assume you know of a triangle with sides a = c = 31 and angle β = 62 degrees. What is the area of the triangle?

Solution Preview

This material may consist of step-by-step explanations on how to solve a problem or examples of proper writing, including the use of citations, references, bibliographies, and formatting. This material is made available for the sole purpose of studying and learning - misuse is strictly forbidden.

3. This is a problem for the law of sines.

It states that sin(α)/a=sin(β)/b in ANY triangle. Where a and b must be opposites side of triangle to the angles α and β.
So, we see, that after travelling 2 miles she changed bearing on 20 degrees. So, A=2 and α=20.
Now, we need another angle. It will be the difference between S40W and S35E.
This difference is 75 degrees.
Now, we can construct the law of sines:
Sin(20)/2=sin(75)/x
And our answer is:
X=2*sin(75)/sin(20)=5.648=5.65 miles...

This is only a preview of the solution. Please use the purchase button to see the entire solution

Related Homework Solutions

Average Temperature
Homework Solution
$4.00
Average
Temperature
Nashville
Tennessee
Form
Mathematics
Trigonometry
Graph
Calculation
Trigonometry Questions
Homework Solution
$25.00
Trigonometry
Functions
Mathematics
Law of Sines
Law of Cosines
Conic Sections
Triangles
Graphs
Matrices
Equations
Systems
Solutions
Arithmetic Sequence
Geometric Sequence
Angles
Degrees
Phase Shift
Parabola
Prices
Axis
Approximation
E
Applied Statistics Questions
Homework Solution
$43.00
Statistics
Mathematics
Business
House Selling
Prices
Significance Levels
Data Sets
Functions
Regression
Excel
F-Test Scores
Independent Variables
Salaries
GPA
Education
Plots
Romantic Relationships
Tables
Statistics Problem
Homework Solution
$8.00
Statistics
Mathematics
Probability
Events
Workdays
Data
Symbols
Functions
Binomial Distribution
Conditions
Get help from a qualified tutor
Live Chats