Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
The curve given by
x
(
t
)
=
2
sin
t
x(t)=2\sin t
x
(
t
)
=
2
sin
t
and
y
(
t
)
=
2
sin
t
cos
t
y(t)=2\sin t\cos t
y
(
t
)
=
2
sin
t
cos
t
for
0
≤
t
≤
π
0\le t\le\pi
0
≤
t
≤
π
forms a closed loop. Compute the exact area enclosed by this loop.
Browse the problem library