need a little help please

Question

Consider the following.

t= 41π/6

(a) Find the reference number t for the value of t.

t=

(b) Find the terminal point determined by t.

(x,y)=

Answer 1

(a) To get reference angle we subracting integer number of comlete rotaition 41π/6 = 6π + 5/6π - 3 · 2π = 5/6π.

5/6π in quadrant II. So reference number t = 5/6π

(b) (x,y) = ( - cos π/6, sinπ/6) = ( - √3/2, 1/2)