Sine function, need some help understanding its meaning.

In summary, the conversation discusses the sine function and its relationship to the opposite side and hypotenuse of a triangle. The value of sin(35) is 0.6293 and this can be used to find the opposite side by multiplying it with the hypotenuse. Additionally, the sine function can be understood in terms of the y-value reading of an angle in a unit circle, indicating its visual representation in both sides and angles.
  • #1
christian0710
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Hi when we look at the function

Sin(35) = opposite/ hypotenus

I know i can find the opposite side by
Sin(35 degree) * hypotenus

But the value of sin(35 degree) = 0,6293 so my question is this:

The sine function tells us that if we divide opposite side by hypotenus the ratio is 0.6292:1
But if we take the sine function to 35 degree Sin(35) does this then tell us "that the sine to 35 degree in the unit circle gives us a value on the y-axis of 0.6292?)

So the sine function can visualized in terms of 1) relationships between sides and 2) the y-value reading of an angle in a unit circle?

Is this correctly understood?
 
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  • #2
Yes.
 

FAQ: Sine function, need some help understanding its meaning.

1. What is the sine function?

The sine function is a mathematical function that describes a relationship between the angles and sides of a right triangle. It is represented by the ratio of the length of the side opposite the angle to the length of the hypotenuse.

2. How is the sine function calculated?

The sine function can be calculated by dividing the length of the side opposite the angle by the length of the hypotenuse. This can be done using a calculator or by using the trigonometric ratios.

3. What is the domain and range of the sine function?

The domain of the sine function is all real numbers, while the range is between -1 and 1. This means that the input (angle) can be any number, but the output (sine value) will always be between -1 and 1.

4. How is the sine function used in real life?

The sine function has many real-life applications, such as in navigation, engineering, and physics. It is used to calculate the height of buildings, the distance between two points, and the position of objects in circular motion.

5. What is the relationship between the sine function and other trigonometric functions?

The sine function is closely related to other trigonometric functions, such as cosine and tangent. It is the ratio of the opposite side to the hypotenuse, while 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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