Enter the coordinates of the point on the unit circle at the given angle. 180° ([?],...
R8. If a point on the unit circle in the fourth quadrant that has angle measure equal to 0 has coordinates equal to, then (a) cos(0) = and (b) sin(0) =
If point P(t) on the unit circle has coordinates (5/13,-12/13) find the coordinates of the point (a) P(t + 2π) (x, y) = (b) P(−t) (x, y) = (c) P(t − π) (x, y) = (d) P(t − 3π) (x, y) =
Find the coordinates of the point on the unit circle measured 4 units clockwise along the circumference of the circle from (1, 0). Round your answer to four decimal places. (x, y) = _______
Question 13 Polar coordinates of a point are given. Find the rectangular coordinates of the point. (4, -180) (4,0) (-4,0) (0,4) (0,-4) hp
(1 point) What angle (in degrees) corresponds to 6 rotations around the unit circle? 6 rotations is an angle of degrees. help (numbers)
[6] Polar coordinates of a point are given. Find the rectangular coordinates of each point. Note: If e is a "special" angle, then the coordinates should be exact. Otherwise, round to the nearest tenth. Sketches have been provided on the scratchwork page. 7T -11, (7, 150°) (-14 77 4 (3, 160°) 百 6 6 6
5. At what point does an angle in standard position measuring 160° intersect the unit circle? O (0.34,-0.94) o(-0.82, 0.57) o(-0.94, 0.34) O (0.75,- 0.82)
in the figure, point P moves at a constant rate along the unit circle. Is the angle POB changing the Time, Angular speed, distance or linear speed In the figure, point P moves at a constant rate along the unit circle. Select the correct choice that completes the sentence below. The measure of how fast angle POB is changing is the or B
7. (*) We draw randomly a point in the unit circle in the following way: first draw an angle Θ uniformly in [0.27) and then draw independently a radius R uniformly in [0, 1]. Let X R cos Θ and Y-R sin Θ be the corresponding Cartesian coordinates. (a) Give the joint pdf of R and Θ. matrix of Jacobi) of the trans (b) Determine the Jacobiadeterminant of the formation - r sin θ (c) Derive the joint pdf of...
or the point given (0,1) in rectangular coordinates, find equivalent polar coordinates (re) that satisfy the conditions a) > 0,0° so< 360° b)r<0, - 180° <0s 180° (a) (,0)=0 (Type an ordered pair. Type your answer in degrees. Do not include the degree symbol in your answer. Type exact answers for each coordinate using radicals needed. Use integers or fractions for any numbers in the expression)