![jacqueline398](/avatars/15058.jpg)
jacqueline398
05.10.2019 •
Mathematics
R=8cos(theta)-10sin(theta) to cartesian coordinates
Solved
Show answers
More tips
- S Style and Beauty How to braid friendship bracelets?...
- F Food and Cooking Delight for Gourmets: How to Prepare Liver Pate...
- C Computers and Internet How to Learn to Type Fast?...
- H Health and Medicine Angina: Causes, Symptoms, and Treatment...
- D Dating, Love, Relationships How to Overcome Jealousy: Tips and Tricks...
- H Health and Medicine 10 Ways to Cleanse Your Colon and Improve Your Health...
- W Work and Career How to Start Your Own Business: Tips and Recommendations...
- F Food and Cooking How to Make Delicious Cabbage Pies: The Best Recipes!...
- F Food and Cooking Discover Delicious Recipes You Can Make with Ground Meat...
- S Sport How to Do Push-ups Correctly?...
Answers on questions: Mathematics
- M Mathematics Ahmad and Bryson are in a long-term fitness challenge that involves counting how many calories they consume on daily basis. Let A = the number of calories Ahmad consumes daily,...
- M Mathematics Consider the triangle below. If x= 8 and y= 36, find theta in degrees. Round your answer to 1 dp. (Image not drawn to scale)...
- E English How does beneatha s character most reflect the time period in which the play takes place...
- S Spanish Él perdió el autobús y tomó el . El es un tren subterráneo. (word is repeated) * 1 point tren autobús carro metroa.trenb.autobusc.carrod.metro...
Ответ:
(1) R= 8cos Ф - 10sin Ф into Cartesian (x , y)
We know that:
x = R.cos Ф → cos Ф = x/R , and
y = R.sin Ф → sin Ф = y/R
and that x² +y² = R²
Replace in
R= 8cos Ф - 10sin Ф , cos Ф and sin Ф by the related x and y:
R = 8(x/R) - 10(y/R)
Multiply both sides by R:
R² = 8R(x/R) - 10R(y/r) ↔ R² = 8x - 10y , but we have also R² = x² + y². hence: 8x -10y = x² + y²
OR x² + y² - 8x + 10y = 0
We can continue in completing th squares of (x² - 8x + ?) and (y² +10y + ?)
(x² - 8x + ?) = (x - 4)² - 16
and (y² +10y + ?) = (y +5)² - 25
Final Equation:
(x - 4)² - 16 + (y +5)² - 25 →→→(x - 4)² + (y +5)² = 41
Ответ:
I guess D is the correct answer.