If θ is an angle in standard position in the unit circle and θ=77°, in terms of θ find point of intersection?

Question

.what are the coordinates, in terms of θ, of the point of intersection of the side of the angle with the unit circle?

Answer 1

P = point of intersection
R = radius of circle

P = (Rcos77, Rsin77)

Answer 2

is P = ( - 5/13, 12/ 13) {there might have been a typo while asking the question} if so then tan (theta) = - 12/ 5 cos is often horizontal, and sin is often vertical as a effect cos (theta) = - 5/12 --> the x fee , the horizontal fee sin (theta) = 12/13 --> the y fee, the vertical fee tan (theta) = sin (theta) / cos (theta) = (12/13) / (-5/13) = 12/ -5 = - 12/5

Answer 3

well, the hypotenuse will be equal to the radius. so you can use sin and cos of 77 to solve for the coordinates.

Answer 4

x = cos Θ = 0.225
y = sin Θ = 0.974