Answer:
a = 
and b = 
Step-by-step explanation:
As we know, the radius of the unit circle is 1 unit (it is the hypotenuse in the right triangle, the blue line)
We use trigonometric formulas to find out a and b
- Sin(45) = opposite side / hypotenuse
<=> Sin(45) = b / 1
<=> b= Sin(45)*1 =
- Cos(45) = adjacent side / hypotenuse
<=> Cos(45) = a / 1
<=> a = Cos(45)*1 =
So: a = and b =
<span>4264.00 this is the answer
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Answer:
15 and 1
Step-by-step explanation:
x and y are two numbers.
Two equations:
x · y = 15
x + y = 16
Rearrange one of the equations (I'll rearrange the sum equation):
x + y = 16
x = 16 - y
Substitute that to the other equation and solve for y:
x · y = 15
(16 - y) · y = 15
16 - y · y = 15
16 - y² = 15
-y² = 15 - 16
-y² = -1
y² = 1
y = √1
y = 1
Now substitute that to any of the equation and solve for x (in here, I'll choose the multiplication one):
x · y = 15
x · 1 = 15
x = 15
Now verify:
15 · 1 = 15
15 + 1 = 16
This is correct
