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A counterclockwise rotation of 270 degrees about the origin is equivalent to a clockwise rotation of 90 degrees. To apply this transformation to a point (x, y), you can use the rule: (x, y) transforms to (y, -x). This means that the x-coordinate becomes the y-coordinate, and the y-coordinate becomes the negative of the x-coordinate.
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If vertices at R(1 1) S(-2 -4) and T(-3 -3). The triangle is transformed according to the rule R0 270 degrees. What are the coordinates of S'?
To find the coordinates of point S' after a 270-degree rotation around the origin, we apply the rotation transformation. The formula for rotating a point (x, y) by 270 degrees is (y, -x). For point S(-2, -4), this gives us S'(-4, 2). Therefore, the coordinates of S' after the transformation are (-4, 2).
What is the exact value of sin 255?
To find the exact value of sin 255°, we can use the sine subtraction formula. Since 255° = 270° - 15°, we can express it as: [ \sin(255°) = \sin(270° - 15°) = \sin(270°) \cos(15°) - \cos(270°) \sin(15°. ] Knowing that (\sin(270°) = -1) and (\cos(270°) = 0), we have: [ \sin(255°) = -1 \cdot \cos(15°). ] Thus, the exact value of (\sin(255°) = -\cos(15°)).
What is cotangent of 270 degrees?
Firstly, with the unit circle (r=1) we need to know that:at 270 degrees our coordinates are (0, -1)sine(270 degrees) = -1cosine(250 degrees) = 0cotangent = cosine / sinetherefore: cot ( 270 degrees) = 0/-1 = 0The answer is 0.
What fraction of a turn is 270?
Assuming that you mean 270 degrees and not radians or any of the other angular measures, the answer is 3/4.
What fraction is 270 degrees?
270 is an integer and so it would be sensible to represent it as an integer: 270 degrees. There is no requirement in the question to change the measurement unit, and if you do want that then you will need to specify the required unit. I suggest the answer should be 3*pi/2 radians.
What rule represents a 270 clockwise rotation about the origin?
270 rule represent a 270 rotation to the left which is very easy
What is the image of 1 -6 for a 270 counterclockwise rotation about the origin?
To find the image of the point (1, -6) after a 270-degree counterclockwise rotation about the origin, we can use the rotation formula. A 270-degree counterclockwise rotation is equivalent to a 90-degree clockwise rotation. The coordinates transform as follows: (x, y) becomes (y, -x). Therefore, the image of (1, -6) is (-6, -1).
What is the image of (1 -6) for a 270 counterclockwise rotation about the origin?
It is (-6, -1).
Is a 270 clockwise rotation the same as a 90 degree counterclockwise rotation?
Yes, a 270-degree clockwise rotation is the same as a 90-degree counterclockwise rotation. When you rotate an object 270 degrees clockwise, you effectively move it 90 degrees in the opposite direction, which is counterclockwise. Both rotations will result in the same final orientation of the object.
How do you rotate a figure 270 degrees counterclockwise about origin?
To rotate a figure 270 degrees counterclockwise about the origin, you can achieve this by rotating it 90 degrees clockwise, as 270 degrees counterclockwise is equivalent to 90 degrees clockwise. For each point (x, y) of the figure, the new coordinates after the rotation will be (y, -x). This transformation effectively shifts the figure to its new orientation while maintaining its shape and size.
What is the rule for a 270 degree counter clockwise rotation?
A 270-degree counterclockwise rotation around the origin in a Cartesian coordinate system transforms a point ((x, y)) to the new coordinates ((y, -x)). This means the x-coordinate becomes the y-coordinate, and the y-coordinate changes its sign and becomes the new x-coordinate. Essentially, it rotates the point three-quarters of the way around the origin.
What is a rotation of 270 Degrees clockwise?
A rotation of 270 degrees clockwise is equivalent to a rotation of 90 degrees counterclockwise. In a Cartesian coordinate system, this means that a point originally at (x, y) will move to (y, -x) after the rotation. Essentially, it shifts the point three-quarters of the way around the origin in the clockwise direction.
What is a rotation of 270 Degrees counterclockwise?
A rotation of 270 degrees counterclockwise is a transformation that turns a figure around a fixed point by 270 degrees in the counterclockwise direction. This rotation can be visualized as a quarter turn in the counterclockwise direction. It is equivalent to rotating the figure three-fourths of a full revolution counterclockwise.
Is a 270 clockwise rotation is the same as a 90 counterclockwise rotation?
Both will end up on the same place. Using a compass rose as an example: 270 clockwise will point to the west. 90 counterclockwise will also point west.
What is the image of (1-6) for a 270 counterclockwise rotation about the orgin?
It is (6, 1).
Which mapping represents a rotation of 270 about the origin?
1
What single transformation is equivalent to a 90 degree counterclockwise rotation followed by a 270 degree counterclockwise rotation?
You went 360o in the same direction, so you end up with a circle.
