Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
A trigonometric function
y
=
f
(
x
)
y=f(x)
y
=
f
(
x
)
attains its maximum value
1
1
1
at
x
=
0
x=0
x
=
0
, has its next zero at
x
=
π
2
x=\dfrac{\pi}{2}
x
=
2
π
, and its graph is symmetric about the
y
y
y
-axis. Which of the following could be
f
(
x
)
f(x)
f
(
x
)
? a)
−
cos
x
-\cos x
−
cos
x
b)
cos
2
x
\cos 2x
cos
2
x
c)
cos
x
\cos x
cos
x
d)
sin
x
\sin x
sin
x
Browse the problem library