Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
For the curve
x
=
2
cos
t
,
y
=
3
sin
t
x = 2\cos t,\; y = 3\sin t
x
=
2
cos
t
,
y
=
3
sin
t
with
0
≤
t
<
2
π
0\le t < 2\pi
0
≤
t
<
2
π
, the tangent makes an angle of
45
∘
45^{\circ}
4
5
∘
with the positive
x
x
x
-axis at which one of the following parameter values? a)
t
=
tan
−
1
(
3
2
)
t = \tan^{-1}\!\left(\dfrac{3}{2}\right)
t
=
tan
−
1
(
2
3
)
b)
t
=
π
−
tan
−
1
(
3
2
)
t = \pi - \tan^{-1}\!\left(\dfrac{3}{2}\right)
t
=
π
−
tan
−
1
(
2
3
)
c)
t
=
π
−
tan
−
1
(
2
3
)
t = \pi - \tan^{-1}\!\left(\dfrac{2}{3}\right)
t
=
π
−
tan
−
1
(
3
2
)
d)
t
=
π
2
+
tan
−
1
(
3
2
)
t = \dfrac{\pi}{2} + \tan^{-1}\!\left(\dfrac{3}{2}\right)
t
=
2
π
+
tan
−
1
(
2
3
)
Browse the problem library