(a)
\The point is
.
The above coordinate pair is in first quadrant.
\Angle is in first quadrant.
Graph :
\From Pythagorean theorem,
\
.
Six trigonometric functions are,
\,
,
,
,
, and
.
Substitute the values of in above ratios.
,
,
,
,
, and
.
(b)
\ The point is
.
The above coordinate pair is in second quadrant.
\Angle is in second quadrant.
Graph :
\From Pythagorean theorem,
\
.
Six trigonometric functions are,
\,
,
,
,
,
.
Substitute the values of in above ratios.
,
,
,
,
, and
.
(a) The six trigonometric functions are ,
,
,
,
, and
.
(b) The six trigonometric functions are ,
,
,
,
, and
.