I need help with finding terminal points for pi/8 of a unit circle. I have attached the question here. I need a step by step solution and explanation so that I can go over and understand it. Thank you.

 

Question 2. (7 marks) In lectures, we determined that the terminal point associated with moving a distance t = 7/4 units from the point (1,0) anti-clockwise around the unit circle, a + y = 1, has coordinates (x, y) = (2/2, 2/2). (a) Using the result from lectures, modify the analysis that we performed in class to then determine the exact coordinates of the terminal point associated with moving a distance. t/8 units from the point (1,0) anti-clockwise around the unit circle. (b) Use your result from part (a), and the symmetry of the unit circle to deduce the coordinates of the terminal points associated with t = t = 8 (c) Hence determine the exact values of: 5 7 and t 8 (i) cos (ii) sin (iii) tan 05/0015/00 5 8 (iv) sin (-_-77) + cos(-77) 8