(a) The trigonometric equation is and
.
Find .
Double-angle formula: .
Reciprocal identity: .
If , then
.
Find the value of .
Pythagorean identity: .
Double-angle formula: .
(b)
\Find .
Double-angle formula: .
(c) Find .
Half-angle formula: .
.
(c) Find .
Half-angle formula: .
Since ,
, then
.
Thus, the lies in the first quadrant.
In first quadrant all six trigonometric ratios are positive.
\.
(a) The exact value of .
(b) The exact value of .
(c) The exact value of .
(d) The exact value of .