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The value of sine corresponds directly to the y-coordinate of a point on the unit circle. As the angle increases from 0 to 90 degrees (or 0 to π/2 radians), the sine value rises from 0 to 1, reflecting the increasing height of the point on the circle. Conversely, as the angle moves from 90 degrees to 180 degrees, the sine value decreases back to 0, aligning with the y-coordinate's behavior as it moves downward. This relationship highlights the sine function's periodic nature and its geometric interpretation.
What else can I help you with?
How does the unit circle relate to sin cos and tan?
Sine: the y-coordinate. Cosine: the x-coordinate. Tangent: the ratio of the two (y/x).
What are the components of a rectangular coordinate system?
cosine, sin* * * * *No. They are the horizontal or x-coordinate, called the abscissa; and the vertical or y-coordinate, called the ordinate.
When a point lies on the x-axis what do you know about it's y coordinate?
We know that its Y coordinate value is zero.
What is the y coordinate of 6 in the linear equation x equals 7-y?
Assuming 6 refers to the value of x, the y coordinate is 1
The x value in a coordinate pair?
The x value is the first of a coordinate pair and tells you how far from the y axis the point is.
How does the unit circle relate to sin cos and tan?
Sine: the y-coordinate. Cosine: the x-coordinate. Tangent: the ratio of the two (y/x).
What are the components of a rectangular coordinate system?
cosine, sin* * * * *No. They are the horizontal or x-coordinate, called the abscissa; and the vertical or y-coordinate, called the ordinate.
When a point lies on the x-axis what do you know about it's y coordinate?
We know that its Y coordinate value is zero.
The function y equals sin θ is not a function beacause sin 30 equals sin 150?
Y=sin X is a function because for each value of X, there is exactly one Y value.
What is the y coordinate of 6 in the linear equation x equals 7-y?
Assuming 6 refers to the value of x, the y coordinate is 1
The x value in a coordinate pair?
The x value is the first of a coordinate pair and tells you how far from the y axis the point is.
Find the coordinate of X if XY equals 1 and the coordinate of Y is 0?
If Y = 0 then there is no value of X such that XY = 1.
What is the sin 180?
The sine of 180 degrees is 0. This is because, on the unit circle, the point corresponding to 180 degrees is located at (-1, 0), and the sine value represents the y-coordinate of that point. Therefore, sin(180°) = 0.
Show diagramaticaly that sin90 is equal to one?
To show that sin(90 degrees) is equal to 1, we can use the unit circle. At 90 degrees, the point on the unit circle has coordinates (0, 1), where the y-coordinate represents the sine value. Since the y-coordinate is 1 at 90 degrees, sin(90 degrees) is equal to 1. This can be visually represented on the unit circle diagramatically.
The point 0-3 would lie on which axis?
The point (0, -3) lies on the y-axis. In a Cartesian coordinate system, the first value represents the x-coordinate and the second value represents the y-coordinate. Since the x-coordinate is 0, the point is located directly on the y-axis at the position -3.
What is the coordinate at which a graph intersects the y axis?
That depends on the value of the y intercept but in general it is at (0, y intercept)
Find all points having a y-coordinate?
All points in a plane do have a y-coordinate. Its value may be 'zero' ... if the point happens to lie on the x-axis ... but 'zero' is a perfectly good coordinate.If you want all points whose y-coordinate is not zero, then those are |y| > 0. (Absolute value of 'y' is greater than zero.)
