Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Find the general solution of the equation
sin
x
cos
2
x
=
0
\sin x\,\cos 2x = 0
sin
x
cos
2
x
=
0
. a)
x
=
n
π
or
x
=
π
4
+
n
π
2
,
n
∈
Z
x = n\pi \text{ or } x = \dfrac{\pi}{4}+\dfrac{n\pi}{2},\; n\in\mathbb Z
x
=
nπ
or
x
=
4
π
+
2
nπ
,
n
∈
Z
b)
x
=
n
π
,
n
∈
Z
x = n\pi,\; n\in\mathbb Z
x
=
nπ
,
n
∈
Z
c)
x
=
π
4
+
n
π
,
n
∈
Z
x = \dfrac{\pi}{4}+ n\pi,\; n\in\mathbb Z
x
=
4
π
+
nπ
,
n
∈
Z
d)
x
=
n
π
2
,
n
∈
Z
x = \dfrac{n\pi}{2},\; n\in\mathbb Z
x
=
2
nπ
,
n
∈
Z
Browse the problem library