A point on the unit circle is (12,3√2) . What is the sine of the angle formed by a terminal ray that intersects the unit circle at this point?(1 point) Responses 3√2 Start Fraction Start Root 3 End Root over 2 End Fraction −3√2 negative Start Fraction Start Root 3 End Root over 2 End Fraction −12 negative Start Fraction 1 over 2 End Fraction 12 Start Fraction 1 over 2 End Fraction
To find the sine of the angle formed by the terminal ray, we need to determine the value of the y-coordinate, which is 3√2.
The sine of an angle is given by the ratio of the opposite side to the hypotenuse in a right triangle. In this case, the y-coordinate represents the opposite side and the hypotenuse of the right triangle is the radius of the unit circle, which is 1.
Therefore, the sine of the angle formed by the terminal ray is 3√2/1 = 3√2.
Hence, the correct response is 3√2.