<h2>
Answer:</h2>
<h2>
Step-by-step explanation:</h2>
The origin of the coordinate system is the center of the circle. So we have an angle that measures 
. so the x-coordinate and y-coordinate can be found, by using trigonometry as follows:
Finally, the exact value of the position of the rider after the carousel rotates 
radians is:
Since the "leading" runner in a race would be found in the first position, because he or she is in the lead, it means they are first, then I suppose I would find the "leading coefficient" in the first place in a polynomial as well.
Answer: See Below
<u>Step-by-step explanation:</u>
NOTE: You need the Unit Circle to answer these (attached)
5) cos (t) = 1
Where on the Unit Circle does cos = 1?
Answer: at 0π (0°) and all rotations of 2π (360°)
In radians: t = 0π + 2πn
In degrees: t = 0° + 360n
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Where on the Unit Circle does 
<em>Hint: sin is only positive in Quadrants I and II</em>
In degrees: t = 30° + 360n and 150° + 360n
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Where on the Unit Circle does 
<em>Hint: sin and cos are only opposite signs in Quadrants II and IV</em>
In degrees: t = 120° + 360n and 300° + 360n
Answer:
D.) 89.33°
Step-by-step explanation:
Use the inverse:
Insert this value into a calculator:
Round to the nearest hundredth:
The missing value is 89.33°.
Answer:
0.0490
Step-by-step explanation:
