![thechef129](/avatars/4102.jpg)
thechef129
30.08.2019 •
Mathematics
There are a few questions i have. they are about trigonometric functions and the quadrants that they are in. can you explain how you got the answers? 1. if sint = 0.29 and sinw = 0.43, both t and w are positive, and the angles determined by t and w are in quadrant 2, then which of the following statements is true? a. t > w b. w > t c. cannot be determined 2. if cost = -0.42 and cosw = -0.80, both t and w are positive, and the angles determined by t and w are in quadrant 3, then which of the following statement is true? a. t > w b. w > t c. cannot be determined
Solved
Show answers
More tips
- H Health and Medicine What is the Normal Blood Sugar Level in a Healthy Person?...
- D Dating, Love, Relationships How Long Can Love Last?...
- A Auto and Moto Mastering One-Movement Parking: All You Need to Know...
- C Computers and Internet How to Properly Order Clothing from International Online Stores...
- H Health and Medicine Headache: A Comprehensive Guide to Treatment...
- F Family and Home How to Choose the Best Diapers for Your Baby?...
- A Auto and Moto Discovering the Leader: What is the Most Expensive Car in the World?...
- F Food and Cooking How to Quickly Put your Child to Sleep?...
- C Computers and Internet How to Create a Website for Free and Easy?...
- F Family and Home Parquet or laminate, which is better?...
Answers on questions: Mathematics
- M Mathematics A rectangular sandbox has a perimeter of 26 feet. The length of the sandbox is 3 greater than the width. What is the width and the length of the sandbox...
- M Mathematics Find the Measure of the missing angles. 49° 118 73 Measure angle 1 = Measure angle 2- Measure angle 3=....
- H History What is unusual about the publication life of the old farmer s almanac?...
- M Mathematics What is the cost, in dollars, for 1 ounce of pasta? Round your answer to the nearest cent....
- H History The stamp act is perhaps the most well known British act of taxation meant to collect money from colonies. Describe a different British act of the time, explain its...
Ответ:
sin(t) = 0.29
t = sin⁻¹(0.29)
t = 16.86°
this value of sin(t) is in quadrant 1, as shown below. all trigonometric function in quadrant 1 is positive. in quadrant 2, only sine function is positive. in quadrant 2, sin(t) = 0.29 is given by the value of t = 180°-16.86° = 163.2°
sin(w) = 0.43
w = sin⁻¹ 0.43
w = 25.47°
in quadrant 2, sin(w) = 0.43 is given by the value of w = 180°-25.47° = 154.58°
163.2° > 154.53° = t > w
question 2:
cos(t) = -0.42
t = cos⁻¹ (-0.42)
t = 114.8
this value of t is in quadrant 2, where the value of cosine is negative. in quadrant 3, the value of cos(t) = -0.42 is given by t = 180°+65.2° = 245.2°
cos(w) = -0.80
w = cos⁻¹ (-0.80)
w = 143.13
in quadrant 3, the value of cos(t) = -0.80 is given by t = 180°+36.87° = 216.87°
245.2° > 216.87° = t > w
Ответ:
$8.50*82=$697 $697-$217.52=$479.48