Answer:
a reflection over the y-axis
Step-by-step explanation:
When a point is reflected over the y-axis, the images forms where the y-coordinate remains the same while the x-coordinate is transformed to the opposite sign.
In this case, a point (x,y) transforms to (-x,y). From the coordinates given;
(-3,3) --------(3,3)
(-1,3)----------(1,3)
(-2,1)----------(2,1)
See attached plot of object points and image points.
Answer:
For a point defined bt a radius R, and an angle θ measured from the positive x-axis (like the one in the image)
The transformation to rectangular coordinates is written as:
x = R*cos(θ)
y = R*sin(θ)
Here we are in the unit circle, so we have a radius equal to 1, so R = 1.
Then the exact coordinates of the point are:
(cos(θ), sin(θ))
2) We want to mark a point Q in the unit circle sch that the tangent has a value of 0.
Remember that:
tan(x) = sin(x)/cos(x)
So if sin(x) = 0, then:
tan(x) = sin(x)/cos(x) = 0/cos(x) = 0
So tan(x) is 0 in the points such that the sine function is zero.
These values are:
sin(0°) = 0
sin(180°) = 0
Then the two possible points where the tangent is zero are the ones drawn in the image below.
