Applications of Trig: related acute angles, coordinate plane

In summary, the conversation was about finding two possible locations and values for the terminal arm and measure of angle A, as well as the related acute angle. The person asking for feedback confirmed their solution and mentioned rounding to the nearest 0.1°, although it was not instructed.
  • #1
Evangeline101
112
5

Homework Statement


upload_2016-8-16_20-4-58.png


Homework Equations



none

The Attempt at a Solution


Two possible locations on the coordinate axis for the terminal arm of angle A:
upload_2016-8-16_20-6-57.png


Two possible values for the measure of angle A and the related acute angle:

upload_2016-8-16_20-8-40.png


Can someone please tell me if I did this correctly?
 

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  • #2
Evangeline101 said:

Homework Statement


View attachment 104789

Homework Equations



none

The Attempt at a Solution


Two possible locations on the coordinate axis for the terminal arm of angle A:
View attachment 104791

Two possible values for the measure of angle A and the related acute angle:

View attachment 104792

Can someone please tell me if I did this correctly?
That looks good.

Are you instructed to round to the nearest 0.1° ?
 
  • #3
SammyS said:
Are you instructed to round to the nearest 0.1° ?

No, I haven't been instructed to do so, but I usually put the rounded number in brackets just in case...
 
  • #4
SammyS said:
That looks good.

Anyway, thanks for verifying my answer :)
 

1. What are the different ways to find related acute angles using trigonometry?

There are three main ways to find related acute angles using trigonometry: complementary angles, supplementary angles, and reference angles. Complementary angles add up to 90 degrees, while supplementary angles add up to 180 degrees. Reference angles are the smallest acute angle formed by the terminal side of an angle and the x-axis.

2. How do you use the coordinate plane to solve trigonometric problems?

The coordinate plane, also known as the Cartesian plane, is a useful tool for solving trigonometric problems. The x-axis represents the horizontal axis and the y-axis represents the vertical axis. The point where the axes intersect is called the origin, and all points on the plane can be described by their coordinates (x,y).

3. What is the Pythagorean Theorem and how is it used in trigonometry?

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. This theorem is used in trigonometry to find missing side lengths or angles in right triangles.

4. How can trigonometry be applied to real-life situations?

Trigonometry has a wide range of real-life applications, such as in navigation, surveying, and engineering. It can be used to calculate distances, heights, and angles of various objects or structures. It is also used in many fields of science, including astronomy and physics.

5. What is the difference between sine, cosine, and tangent in trigonometry?

Sine, cosine, and tangent are three basic trigonometric functions used to find the ratios between sides of a right triangle. Sine is the ratio of the opposite side to the hypotenuse, cosine is the ratio of the adjacent side to the hypotenuse, and tangent is the ratio of the opposite side to the adjacent side.

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