(a)
\Trigonometric expression is
.
Observe the unit circle
when
and
.
Since cosine function is periodic,
when
,
.
when
is an odd integer.
(b)
\Trigonometric expression is
.
Reciprocal Identity :
.
Observe the unit circle
when
and
.
when
is an even integer.
(a)
when
is an odd integer.
(b)
when
is an even integer.