Find an equation equivalent to r = 10 sin theta in rectangular coordinates.

r = 10sinθ

Is

x² + (y - 5)² = 25

in rectangular coordinates.

Step-by-step explanation:

To convert r = 10sinθ to rectangular coordinates,

First, note the following equivalents

r² = x² + y²

x = rcosθ

y = rsinθ

=> sinθ = y/r

Now, r = 10sinθ

Implies

r = 10 × y/r

Multiply both sides by r

r² = 10y

Since r² = x² + y², we have

x² + y² = 10y

Or

x² + y² - 10y = 0

Completing the square for y² - 10y, we have

x² + [y² -2(5)y + 5² - 5²] = 0

x² + (y - 5)² - 25 = 0

x² + (y - 5)² = 25

Centered at (0, 5) with radius 5

15 units use socratic

step-by-step explanation: 15 units

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)