Step 1:
\The terminal point is
.
Observe the terminal point.
\Here
and
, hence
lies in Quadrant I.
(a)
\Find the terminal point determined by
.
Since
lies in Quadrant I,
lies in Quadrant II.
is a angle in Quadrant II, hence
.
The terminal point is
.
Step 2:
\(b)
\Find the terminal point determined by
.
is reflection along
-axis.
Since
lies in Quadrant I,
lies in Quadrant IV.
is a angle in Quadrant IV, hence
.
The terminal point is
.
Step 3:
\(c)
\Find the terminal point determined by
.
Since
lies in Quadrant I,
lies in Quadrant III.
is a angle in Quadrant III, hence
.
The terminal point is
.
Step 4:
\(d)
\Find the terminal point determined by
.
Since
lies in Quadrant I,
lies in Quadrant I.
is a angle in Quadrant I, hence
.
The terminal point is
.
Solution:
\(a) The terminal point is
.
(b) The terminal point is
.
(c) The terminal point is
.
(d) The terminal point is
.