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ປັດໄຈທົ່ວໄປທີ່ຍິ່ງໃຫຍ່ທີ່ສຸດ
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ແກ້ສຳລັບ x
x=\pi n_{1}+\frac{\pi }{4}
n_{1}\in \mathrm{Z}
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ແຕ້ມທັງສອງຂ້າງເປັນ 2 ມິຕິ
ແຕ້ມເປັນ 2 ມິຕິ
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Trigonometry
\sin ( x ) - cos ( x ) = 0
ບັນຫາທີ່ຄ້າຍຄືກັນຈາກWeb Search
Solve \displaystyle{\sin{{x}}}-{\cos{{x}}}={0} ?
https://socratic.org/questions/58f66b0eb72cff6d065f28c0
\displaystyle{x}=\frac{\pi}{{4}}+{n}\pi Explanation: We have: \displaystyle{\sin{{x}}}-{\cos{{x}}}={0} Which we can rearrange as follows: \displaystyle\therefore{\sin{{x}}}={\cos{{x}}} ...
I confused with trigonometry. \sin x - \cos x = 1
https://math.stackexchange.com/q/2837121
\frac{1}{\sqrt2}\sin{x}-\frac{1}{\sqrt2}\cos{x}=\frac{1}{\sqrt2} or \sin\left(x-45^{\circ}\right)=\sin45^{\circ}, which gives x-45^{\circ}=45^{\circ}+360^{\circ}k, where k is an integer ...
How do you solve \displaystyle{\sin{{2}}}{x}-{\cos{{x}}}={0} ?
https://socratic.org/questions/how-do-you-solve-sin-2x-cos-x-0
Use the important double angle identity \displaystyle{\sin{{2}}}{x}={2}{\sin{{x}}}{\cos{{x}}} to start the solving process. Explanation: \displaystyle{2}{\sin{{x}}}{\cos{{x}}}-{\cos{{x}}}={0} ...
How to solve \sin 3x - \cos x = 0
https://www.quora.com/How-do-I-solve-sin-3x-cos-x-0
\begin{align} &\ \ \sin 3x - \cos x = 0 \\ \Leftrightarrow &\ \ \sin 3x - \sin \left( \dfrac{\pi}{2}-x \right) = 0 \\ \Leftrightarrow &\ \ 2 \cos\dfrac{3x + \left( \frac{\pi}{2}-x \right)}{2} \sin\dfrac{3x - \left( \frac{\pi}{2}-x \right)}{2} = 0 \\ \Leftrightarrow &\ \ 2 \cos \dfrac{2x + \frac{\pi}{2}}{2} \sin \dfrac{4x - \frac{\pi}{2}}{2} = 0 \\ \Leftrightarrow &\ \ \dfrac{2x + \frac{\pi}{2}}{2} = \dfrac{\pi}{2} + k\pi, k \in \mathbb{Z} \text{ or } \dfrac{4x - \frac{\pi}{2}}{2} = k\pi, k \in \mathbb{Z} \\ \Leftrightarrow &\ \ x = \dfrac{\pi}{4} + k\pi, k \in \mathbb{Z} \text{ or } x = \dfrac{\pi}{8} + \dfrac{k\pi}{2}, k \in \mathbb{Z} \end{align}
Find the general solution to \sin(4x)-\cos(x)=0 [closed]
https://math.stackexchange.com/questions/1735307/find-the-general-solution-to-sin4x-cosx-0
\sin(4x)−\cos(x)=0 2\sin(2x)\cos(2x)-\cos(x)=0 4\sin(x)\cos(x)(1-2\sin^2(x))-\cos(x)=0 One possible solution is \cos(x)=0 4\sin(x)(1-2\sin^2(x))=1 8\sin^3(x)-4\sin(x)+1=0 Now, let \sin(x)=m ...
Prove that \sin x - x\cos x = 0 has only one solution in [-\frac{\pi}{2}, \frac{\pi}{2}]
https://math.stackexchange.com/q/1355080/166535
Let f(x)=\sin x-x\cos x. You have f'(x)=x\sin x. Since \sin x has the same sign as x for x\in[-\pi/2,\pi/2], we know that f'(x)\geq0 in this interval and f'(x)>0 for x\in[-\pi/2,\pi/2]\setminus\{0\} ...
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\cos ( 3x + \pi ) = 0.5
\sin ( x ) = 1
\sin ( x ) - cos ( x ) = 0
\sin ( x ) + 2 = 3
{ \tan ( x ) } ^ {2} = 4
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