"solve for the following trig ratios using the unit circle":
1 answer:
<h3>Answer: -1</h3>
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Explanation:
The goal is to get that 1755 degree angle between 0 and 360, so we can refer to the unit circle later.
Subtract off 360 from this until we get to that target
- 1755 - 360 = 1395
- 1395 - 360 = 1035
- 1035 - 360 = 675
- 675 - 360 = 315
Or a shortcut could be
- 1755 - 4*360 = 315
The angles of 1755 degrees and 315 degrees are coterminal. They point in the same exact direction which is directly southeast in quadrant IV.
Now use the unit circle (see below) to find that
- sin(315) = -sqrt(2)/2
- cos(315) = sqrt(2)/2
Dividing those two items and simplifying gets us
tan(315) = sin(315)/cos(315) = -1
Then we go from tan(315) = -1 to tan(1755) = -1
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Question is not complete. Complete question is;
Mount Belinda is the highest point in the South Sandwich Islands, with a peak at about 1,370 meters above sea level. The South Sandwich Trench, which lies about 100 kilometers (62 miles) to the east of the South Sandwich Islands, is about 8,428 meters below sea level (at its lowest point).
Part A: What is the difference in elevations between Mount Belinda and the South Sandwich Trench?
Part B: Is the elevation halfway between the peak of Mount Belinda and the South Sandwich Trench above sea level or below sea level? Give your explanation without calculating the exact value.
Part C: What elevation is halfway between the peak Mount Belinda and the South Sandwich Trench?
Answer:
A) 100478.86 metres
B) Explained below.
C) 50239.43 metres
Step-by-step explanation:
I have attached an image showing the elevations as depicted in the question.
MB represents peak of Mount Belinda while SS represents lowest point of South Sandwich Islands.
A) Now, total vertical distance from peak of MB to lowest point of SS is;
8428 + 1370 = 9798 metres
Since the horizontal distance between MB and SS is 100000 metres, then we can use pythagoras theorem to find the Elevation between MB and SS.
If the Elevation is x.
Thus;
x = √(9798² + 100000²)
x = 100478.86 metres
B) The Elevation between peak of MB and lowest point of SS will be halfway below the sea level because the distance from the lowest point of SS from the sea level is 5 times bigger than the distance from peak of MB to the sea level.
C) The halfway Elevation between peak MB and lowest SS will be;
100478.86/2 = 50239.43 metres
Answer:
$183
Step-by-step explanation: