Suppose that the terminal point determined by t is the point (12/13, 5/13) on the unit circle. Find the terminal point determined by each of the following.

Question

1) Find the terminal point for t+3pi

(x,y）= 

2) Find sin（t）

3）Find Cot（t）

Answer 1

terminal point for t+3pi is (-12/13, -5/13)

just change the signs of the x and y coordinates

sint = 5/13

cost =12/13

cott = cost/sint = (12/13)/(5/13) = 12/5 = 2.4

sin(t+3pi) = -5/13

cos(t+3pi) =-12/13

cot(t+3pi) = 12/5 = 2.4 = cott