Respuesta :
Answer:
a. (-0.707, -0.707)
b. (0.707, -0.707)
c. (-0.707, -0.707)
d. (-0.707, 0.707)
Step-by-step explanation:
Sine and cosine have the characteristic that ...
sin(-t) = -sin(t) . . . . . sine is an odd function
sin(t ± π) = -sin(t)
cos(-t) = cos(t) . . . . .cosine is an even function
cos(t ± π) = -cos(t)
Then ...
P(t ± π) = -P(t)
P(-t) = (cos(t), -sin(t)) = (1, -1)×P(t)
P(-t ± π) = (-1, 1)×P(t)
Using these relations, we get ...
a. x = -cos(t) = -0.707
y = -sin(t) = -0.707
__
b. x = cos(t) = 0.707
y = -sin(t) = -0.707
__
c. x = -cos(t) = -0.707
y = -sin(t) = -0.707
__
d. x = -cos(t) = -0.707
y = -(-sin(t)) = 0.707
Coordinates were 2 integers (Cartesian coordinates) or a symbol as well as a number that point to the specific place on the grid termed as a coordinate plane. It has four dimensions and two axes: horizontal and vertical that are the "x and y" axis, and further explanation can be defined as follows:
Given:
[tex]\to \bold{P(t)=(cos t,sin t)}\\\\\to \bold{coordinates=(0.707,0.707)}\\\\[/tex]
To find:
coordinates =?
Solution:
- Radians clockwise would make a new point on the opposite edge of the ring, negating both the x and y-coordinates. As little more than a result, their revised coordinates are just as follows: (-0.707, -0.707).
- P(-t) will merely reflect the point all along the x-axis. All this does is negate the "y-coordinate", allowing the new location to be found (0.707, -0.707).
- counterclockwise radians Similarly, this will simply negate the x and y coordinates, yielding (-0.707, -0.707).
- radians counter-clockwise Reflecting thru the x-axis yields (0.707, -0.707), and rotating it yields (-0.707, 0.707).
Therefore, the final answer are "(-0.707, -0.707) , (0.707, -0.707), (-0.707, -0.707), and (-0.707, 0.707)".
Learn more:
brainly.com/question/13868040
