Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
If
0
<
cos
−
1
x
<
1
0 < \cos^{-1} x < 1
0
<
cos
−
1
x
<
1
and
1
+
sin
(
cos
−
1
x
)
+
sin
2
(
cos
−
1
x
)
+
sin
3
(
cos
−
1
x
)
+
⋯
=
2
1 + \sin(\cos^{-1} x) + \sin^2(\cos^{-1} x) + \sin^3(\cos^{-1} x) + \dots = 2
1
+
sin
(
cos
−
1
x
)
+
sin
2
(
cos
−
1
x
)
+
sin
3
(
cos
−
1
x
)
+
⋯
=
2
, then the value of
12
x
2
12x^2
12
x
2
is .....
Browse the problem library