Question about Trigonometry: Fundamental Relationship
Subject Mathematics
Mathematics
Source Originais Teachy
Originais Teachy
Topic Trigonometry: Fundamental Relationship
Trigonometry: Fundamental Relationship
Difficulty Medium
Medium
(Originais Teachy 2023) - Question Medium of Mathematics
The tallest ferris wheel in the world, located in Dubai, has a circumference of 250 meters. Suppose a passenger starts their journey at the lowest point of the ferris wheel. If we describe the passenger's position as a sinusoidal function (where the horizontal axis represents time and the vertical axis represents height), the peak of the function will represent the highest point of the ferris wheel. Considering the radius of the ferris wheel as the maximum value of the sinusoidal function and the center of the ferris wheel as the horizontal axis line, after a quarter turn of the ferris wheel, what is the value of the cosine of the angle formed by the passenger's position and the horizontal line?a.
The value of the cosine of the angle formed by the passenger's position and the horizontal line after a quarter turn of the ferris wheel is 0.
b.
The value of the cosine of the angle formed by the passenger's position and the horizontal line after a quarter turn of the ferris wheel is 1
c.
The value of the cosine of the angle formed by the passenger's position and the horizontal line after a quarter turn of the ferris wheel is -0.5
d.
The value of the cosine of the angle formed by the passenger's position and the horizontal line after a quarter turn of the ferris wheel is -1
e.
The value of the cosine of the angle formed by the passenger's position and the horizontal line after a quarter turn of the ferris wheel is 0.5
Answer sheet:
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