Question
A circle is drawn with a marked and labeled point plotted on the circumference.
What is the sine of the angle formed by a terminal ray that intersects the unit circle at the point given in the image?
(1 point)
What is the sine of the angle formed by a terminal ray that intersects the unit circle at the point given in the image?
(1 point)
Answers
GPT-4o mini
To determine the sine of the angle formed by a terminal ray intersecting the unit circle at a specific point on the circumference, you can use the coordinates of that point.
In the unit circle, any point on the circumference is represented as \((x, y)\), where \(x\) is the cosine of the angle and \(y\) is the sine of the angle. Therefore, the sine of the angle corresponding to the point given on the circumference is simply the \(y\)-coordinate of that point.
For example, if the marked point on the circumference is \((a, b)\), the sine of the angle formed by the terminal ray is \(b\).
Since I do not have the image you mentioned, please provide the coordinates of the point on the circumference, and I can specifically tell you the sine of the angle from that.
In the unit circle, any point on the circumference is represented as \((x, y)\), where \(x\) is the cosine of the angle and \(y\) is the sine of the angle. Therefore, the sine of the angle corresponding to the point given on the circumference is simply the \(y\)-coordinate of that point.
For example, if the marked point on the circumference is \((a, b)\), the sine of the angle formed by the terminal ray is \(b\).
Since I do not have the image you mentioned, please provide the coordinates of the point on the circumference, and I can specifically tell you the sine of the angle from that.