Easy yes or no answer sine law question.

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In summary, the sine law, also known as the law of sines, is a mathematical relationship used to solve problems involving triangles. It states that the ratio of a side to the sine of its opposite angle is constant for all sides of a triangle. This law is used when we have a triangle with at least one known angle and side, and we need to find an unknown angle or side. It differs from the cosine law, which is used for triangles with two known sides and the included angle. The sine law can be applied to all types of triangles and has been widely used and proven to be reliable in various fields. However, the accuracy of the results depends on the accuracy of the measurements and calculations.
  • #1
ryan8642
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Homework Statement

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Is it ok to use sine law for this :

A=sIN^-1(40SIN120/65.8)

im not sure if this applies to the sin law angle restriction where the angle can't be over ??degrees?
 
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  • #2
sin(120 deg.) = sin(60 deg.). The sin-1 (or arcsin) function on a calculator will give you a value between -90 degrees and +90 degrees, so for some triangles with angles larger than 90 deg., you need to take this into account.
 
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1. What is the sine law and how does it work?

The sine law, also known as the law of sines, is a mathematical relationship between the sides and angles of a triangle. It states that the ratio of the length of a side to the sine of its opposite angle is the same for all three sides of a triangle. This allows us to solve for unknown sides or angles in a triangle using simple trigonometric calculations.

2. How do I know when to use the sine law in a problem?

The sine law is used when we have a triangle with at least one known angle and the opposite side, and we need to find another unknown angle or side. It is also useful when we have a triangle with two known angles and one side, and we need to find the remaining side and angle.

3. What is the difference between the sine law and the cosine law?

The sine law and cosine law are both used to solve problems involving triangles, but they are used in different situations. The sine law is used when we have a triangle with one known angle and side, while the cosine law is used when we have a triangle with two known sides and the angle between them.

4. Can the sine law be used for all types of triangles?

Yes, the sine law can be used for all types of triangles, including right triangles and oblique triangles. However, it is important to note that the sine law only works for triangles, and cannot be used for other shapes.

5. How accurate are the results obtained using the sine law?

The accuracy of the results obtained using the sine law depends on the accuracy of the given measurements and the precision of the calculations. However, the sine law is a well-established mathematical principle and is widely used in various fields such as engineering, physics, and astronomy, so it can be considered a reliable method for solving problems involving triangles.

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