Answer:
Step-by-step explanation:
7π
Here the angle is Ф = ------ .
2
Recall that the angle π/2 is equivalent to 90°, so:
(2/2)π = π ↔ 180°
(4/2)π = 2π ↔ 360°
(8/2)π = 4π ↔ 720°
(7/2)π = 720° - 90° = 630°
Most importantly, note that (8/2)π lies between Quadrants I and IV, so
(7/2)π must lie between Quadrants III and IV. This (7/2)π is equivalent to 270°, for which the opp side is -1, the adj side is 0 and the hyp is 1.
Thus, sin Ф = opp / hyp = -1;
cos Ф = adj / hyp = 0;
tan Ф = opp / adj = -1 / 0 (undefined)
csc Ф = 1 / sin Ф = -1
sec Ф = 1 / cos Ф = 1 / ( 0 ) is undefined; and
cot Ф = 1 / tan Ф = [1 / undefined] = 0.
