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Cari nilai θ
\theta =\pi n_{1}+\frac{2\pi }{3}\text{, }n_{1}\in \mathrm{Z}<br/>\theta =\pi n_{1}+\frac{\pi }{3}\text{, }n_{1}\in \mathrm{Z}
θ
=
π
n
1
+
3
2
π
,
n
1
∈
Z
θ
=
π
n
1
+
3
π
,
n
1
∈
Z
Grafik
Kuis
Trigonometry
5 soal serupa dengan:
2 \cos 2 \theta + 1 = 0
2
cos
2
θ
+
1
=
0
Soal yang Mirip dari Pencarian Web
How do you solve \displaystyle{2}{\cos{\theta}}+{1}={0} ?
How do you solve
2
cos
θ
+
1
=
0
?
https://socratic.org/questions/how-do-you-solve-2costheta-1-0
The general solution of \displaystyle{2}{\cos{\theta}}+{1}={0} is : \displaystyle\theta={2}{k}\pi\pm\frac{{{2}\pi}}{{3}},{k}\in\mathbb{Z} Explanation: Here, \displaystyle{2}{\cos{\theta}}+{1}={0} ...
The general solution of
2
cos
θ
+
1
=
0
is :
θ
=
2
k
π
±
3
2
π
,
k
∈
Z
Explanation: Here,
2
cos
θ
+
1
=
0
...
How do you use product to sum formulas to write the product \displaystyle{\cos{{5}}}\theta{\cos{{3}}}\theta as a sum or difference?
How do you use product to sum formulas to write the product
cos
5
θ
cos
3
θ
as a sum or difference?
https://socratic.org/questions/how-do-you-use-product-to-sum-formulas-to-write-the-product-cos5thetacos3theta-a
\displaystyle{\cos{{5}}}\theta{\cos{{3}}}\theta=\frac{{1}}{{2}}{\cos{{8}}}\theta+\frac{{1}}{{2}}{\cos{{2}}}\theta Explanation: As \displaystyle{\cos{{\left({A}+{B}\right)}}}={\cos{{A}}}{\cos{{B}}}-{\sin{{A}}}{\sin{{B}}} ...
cos
5
θ
cos
3
θ
=
2
1
cos
8
θ
+
2
1
cos
2
θ
Explanation: As
cos
(
A
+
B
)
=
cos
A
cos
B
−
sin
A
sin
B
...
How do you find the solution to \displaystyle{5}{\left({\cos{\theta}}+{1}\right)}={5} if \displaystyle{0}\le\theta{<}{360} ?
How do you find the solution to
5
(
cos
θ
+
1
)
=
5
if
0
≤
θ
<
3
6
0
?
https://socratic.org/questions/how-do-you-find-the-solution-to-5-costheta-1-5-if-0-theta-360
\displaystyle\frac{\pi}{{2}} and \displaystyle\frac{{{3}\pi}}{{2}} Explanation: I assume you know \displaystyle{0}\le\theta{<}{360} is the same thing as \displaystyle{0}\le\theta{<}{2}\pi ...
2
π
and
2
3
π
Explanation: I assume you know
0
≤
θ
<
3
6
0
is the same thing as
0
≤
θ
<
2
π
...
Evaluate: \csc^2\left(\frac{\pi}{9}\right)+\csc^2\left(\frac{2\pi}{9}\right)+\csc^2\left(\frac{4\pi}{9}\right)
Evaluate:
csc
2
(
9
π
)
+
csc
2
(
9
2
π
)
+
csc
2
(
9
4
π
)
https://math.stackexchange.com/q/1749306
Like my answer here in Sum of tangent functions where arguments are in specific arithmetic series \tan9x=\dfrac{\binom91t-\binom93t^3+\binom95t^5-\binom97t^7+t^9}{\cdots} where t=\tan x If \tan9x=0,9x=n\pi ...
Like my answer here in Sum of tangent functions where arguments are in specific arithmetic series
tan
9
x
=
⋯
(
1
9
)
t
−
(
3
9
)
t
3
+
(
5
9
)
t
5
−
(
7
9
)
t
7
+
t
9
where
t
=
tan
x
If
tan
9
x
=
0
,
9
x
=
n
π
...
Exact period of simple pendulum.
Exact period of simple pendulum.
https://math.stackexchange.com/questions/2257095/exact-period-of-simple-pendulum
Hint: Write -g\sin \theta=L \theta''=L\dfrac{d^2\theta}{dt^2} and -g\sin \theta\dfrac{d\theta}{dt}=L\dfrac{d^2\theta}{dt^2}\dfrac{d\theta}{dt} -2g\sin \theta d\theta=L\times2\dfrac{d^2\theta}{dt^2}\dfrac{d\theta}{dt}dt=L\Big[\left(\dfrac{d\theta}{dt}\right)^2\Big]'dt ...
Hint: Write
−
g
sin
θ
=
L
θ
′
′
=
L
d
t
2
d
2
θ
and
−
g
sin
θ
d
t
d
θ
=
L
d
t
2
d
2
θ
d
t
d
θ
−
2
g
sin
θ
d
θ
=
L
×
2
d
t
2
d
2
θ
d
t
d
θ
d
t
=
L
[
(
d
t
d
θ
)
2
]
′
d
t
...
Polar equation — find area under graph using double integral
Polar equation — find area under graph using double integral
https://math.stackexchange.com/questions/729893/polar-equation-find-area-under-graph-using-double-integral
You have the heuristic (and graphic) result: http://www.mathalino.com/sites/default/files/images/plane-areas-polar-coordinates.jpg the part of the graphic in color is close to a triangle with both ...
You have the heuristic (and graphic) result: http://www.mathalino.com/sites/default/files/images/plane-areas-polar-coordinates.jpg the part of the graphic in color is close to a triangle with both ...
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Contoh
Persamaan kuadrat
{ x } ^ { 2 } - 4 x - 5 = 0
x
2
−
4
x
−
5
=
0
Trigonometri
4 \sin \theta \cos \theta = 2 \sin \theta
4
sin
θ
cos
θ
=
2
sin
θ
Persamaan linear
y = 3x + 4
y
=
3
x
+
4
Aritmetika
699 * 533
6
9
9
∗
5
3
3
Matriks
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
[
2
5
3
4
]
[
2
−
1
0
1
3
5
]
Persamaan simultan
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
{
8
x
+
2
y
=
4
6
7
x
+
3
y
=
4
7
Diferensial
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
d
x
d
(
x
−
5
)
(
3
x
2
−
2
)
Integral
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
∫
0
1
x
e
−
x
2
d
x
Limit
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}
x
→
−
3
lim
x
2
+
2
x
−
3
x
2
−
9
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