Answer:
−π
----
4
Step-by-step explanation:
Alright, archtan /
tan
−
1
(
x
)
is the inverse of tangent. Tan is
sin
cos
. Like the inverse of sin, the inverse of tan is also restricted to quadrants 1 and 4.
Knowing this we are solving for the inverse of tan -1. We are basically being asked the question what angle/radian does tan(-1) equal. Using the unit circle we can see that tan(1)= pi/4.
Since the "Odds and Evens Identity" states that tan(-x) = -tan(x). Tan(-1)= -pi/4.
Knowing that tan is negative in quadrants 2 and 4. the answer is in either of those two quadrants. BUT!!! since inverse of tan is restricted to quadrants 1 and 4 we are left with the only answer -pi/4.
Answer:
Vertex:
(
3
2
,
−
41
4
)
(
3
2
,
-
41
4
)
Focus:
(
3
2
,
−
10
)
(
3
2
,
-
10
)
Axis of Symmetry:
x
=
3
2
x
=
3
2
Directrix:
y
=
−
21
2
y
=
-
21
2
x
y
0
−
8
1
−
10
3
2
−
41
4
3
−
8
4
−
4
Vertex:
(
3
2
,
−
41
4
)
(
3
2
,
-
41
4
)
Focus:
(
3
2
,
−
10
)
(
3
2
,
-
10
)
Axis of Symmetry:
x
=
3
2
x
=
3
2
Directrix:
y
=
−
21
2
y
=
-
21
2
x
y
0
−
8
1
−
10
3
2
−
41
4
3
−
8
4
−
4
Step-by-step explanation:
