Your answer is 9. Hope this helps, if not, please comment below!
Step-by-step explanation:
x² + (y − 1)² = 9
This is a circle with center (0, 1) and radius 3. We can parameterize it using sine and cosine.
Use the starting point to determine which should be sine and which should be cosine.
Use the direction to determine the signs.
Use the number of revolutions and the interval to determine coefficient of t.
(A) Once around clockwise, starting at (3, 1). 0 ≤ t ≤ 2π.
The particle starts at (3, 1), which is 0 radians on a unit circle. It makes 1 revolution (2π radians). Therefore:
x = 3 cos t
y = 1 − 3 sin t
(B) Two times around counterclockwise, starting at (3, 1). 0 ≤ t ≤ 4π.
The particle starts at (3, 1), which is 0 radians on a unit circle. It makes 2 revolutions (4π radians). Therefore:
x = 3 cos t
y = 1 + 3 sin t
(C) Halfway around counterclockwise, starting at (0, 4). 0 ≤ t ≤ π.
The particle starts at (0, 4), which is π/2 radians on a unit circle. It makes 1/2 revolution (π radians). Therefore:
x = -3 sin t
y = 1 + 3 cos t
Answer:
sin α = 
= 
cos α = 
= 
tan α = 
= 
cot α = 
= 
sec α = 
= 
csc α = 
= 
Step-by-step explanation:
If the point is given on the terminal side of an angle, then:
Calculate the distance between the point given and the origin:
r = 
Here it is: 
= 
= 
So we have:
x = 3
y = 1
r =
Now we can calculate all 6 trig, functions:
sin α = =
cos α = =
tan α = =
cot α = =
sec α = =
csc α = =
Answer:
B
Step-by-step explanation:
When you flip over the y-axis you the x is multiplied by -1
Answer:
32 seed packets
Step-by-step explanation:
15/4=3.75
120/3.75=32
