1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Pie
2 years ago
15

Please help! I've been working on this for a few days and I just don't understand, it's due in a few hours. Thank you.

Mathematics
1 answer:
never [62]2 years ago
5 0

Answer:

Part A: α = arc tan (y/x) = tan⁻¹ (y/x)

Part B: quadrant II α = arc tan (- y/x) = arc (- tan (y/x)) = - tan⁻¹ (y/x) 180°>α>90°

            quadrant III α = arc tan (-y)/(-x) = arc tan (y/x) = tan⁻¹ (y/x) 270°>α>180°

            quadrant IV α = arc tan (- y/x) = arc (- tan (y/x)) = - tan⁻¹ (y/x) 360°>α>270°

Part C: quadrant II 180°>α>90°  α = tan⁻¹ (-6/1) = - tan⁻¹ 6 = 180° - 80.53° = 99.47°

Step-by-step explanation:

PART A:

In this case we will use trigonometric function tanα to calculate angle α:

tanα = y/x => α = arc tan (y/x) = tan⁻¹ (y/x)

This formula is use in general way and in first quadrant  90°>α>0°

Part B:

But in the other quadrants you must know to use unit circle to reduce angle from II, III and IV quadrant to the first quadrant.

If angle is in the quadrant II  180°>α>90° then

tanα = - tan (180°-α)

If angle is in the quadrant III  270°>α>180° then

tanα = tan (α-180°)

If angle is in the quadrant IV  360°>α>270° then

tanα =- tan (360°-α)

Part C:

vector w (x,y) = (-1,6) this vector lies in quadrant II      180°>α>90°

180°- α = tan⁻¹ (-6/1) = - tan⁻¹ 6 = 80.53°  => 180° - α = 80.53°

α = 180° - 80.53 = 99.47°

It's not easy to understand this, but it's not easy for me to explain.

God with you!!!

You might be interested in
ASAP NEED ANSWERS FOR BOTH QUESTIONS PLEASE :)
Nostrana [21]
Answer; 8inch, 4x larger
4 0
3 years ago
An article reports "sales have grown by 30% this year, to $200 million." What were sales before the growth? An article reports "
zimovet [89]

The amount of sales before growth according to the article is $153.85 million

<h3>How to find sales before growth?</h3>

let

  • Sales before growth = x
  • Percentage growth = 30%
  • New sales = $200 million

200 = x + (30% × x)

200 = x + (0.3 × x)

200 = x + 0.3x

200 = 1.3x

x = 200/1.3

x = 153.846153846153

Approximately,

x = $153.85 million

Learn more about percentage:

brainly.com/question/843074

#SPJ1

8 0
1 year ago
Please help!! graph y=sec(x)
Evgen [1.6K]
You can use desmo its a site that helps graph
3 0
3 years ago
Please help ASAP!<br> 3(T + 4) - 2(2T + 3) = -4 <br> Thank You!
kakasveta [241]
The answer would be t=10
5 0
3 years ago
A box of 8 waffles weigh 26.9 ounces.The box weighs 4.5 ounces. What is the weight of each waffle?
Phoenix [80]
Each waffle weighs 5.97 ounces hope this helps!
8 0
3 years ago
Other questions:
  • Consider the function m(t) = -28/5t
    10·1 answer
  • A cylindrical can is to hold 20<img src="https://tex.z-dn.net/?f=%5Cpi" id="TexFormula1" title="\pi" alt="\pi" align="absmiddle"
    13·1 answer
  • Write the equations after translating the graph of y = |x| one unit to the right
    7·2 answers
  • What's 3/4×5/12 in simplest form
    15·1 answer
  • Which of the following equations represents the statement: "The product of a number y and 3, less 8, is equal to 22"?
    10·1 answer
  • Write the equation. Solve for x.
    6·1 answer
  • Add. (6x^2-2x)+(5x-7)
    9·2 answers
  • NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER
    11·1 answer
  • Shannon participated in a national math contest by taking a math test. The test results followed a normal distribution with a me
    11·1 answer
  • Helllllllllllllllllpppppppppppppp
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!