kristinmack17 kristinmack17

09-12-2021
Mathematics

contestada

Convert the equation to polar form. (Use variables r and as needed.)
x2 − y2 = 12

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LammettHash LammettHash

09-12-2021

In converting to polar coordinates, we take

x = r cos(t)

y = r sin(t)

Then in the given equation,

x² - y² = 12

(r cos(t))² - (r sin(t))² = 12

r² cos²(t) - r² sin²(t) = 12

r² (cos²(t) - sin²(t)) = 12

r² cos(2t) = 12

r² = 12 sec(2t)

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