Find the value of .
The expression is .
In general, if an angle whose measure is greater than has a reference angle of
,
, or
, or if it is a quadrantal angle, first find its ordered pair, after find the values of any of the trigonometric functions of the angle. Again, determine the reference angle first.
is a full rotation of
, plus an additional
.
Therefore the angle is coterminal with , and so it shares the same ordered pair,
.
The sine value is the - coordinate.
Thus, the value of is
.
Find the value of .
The expression is .
is in the fourth quadrant, and has a reference angle of
.
That is, this angle is coterminal with .
Therefore the ordered pair is .
The sine value is the - coordinate.
Thus, the value of is
.
The value of is
.
The value of is
.