\text{Selesaikan untuk }x \sin(x)-\cos(x)=0

x=\frac{\pi }{4}+k\pi ,k \in \mathbb{Z}

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Question :

sin(x)-cos(x)=0

Selesaikan persamaan tersebut.

x = \frac{π}{4} + kπ, k \in Z

Bentuk Alternatif

x = 4 5^{\circ} + 18 0^{\circ} k, k \in Z

Bentuk Alternatif

x \approx 0.785398 + kπ, k \in Z

Evaluasi

sin (x) - cos (x) = 0

Pindahkan ekspresi ke sisi kanan.

- cos (x) = 0 - sin (x)

Kurangkan suku-sukunya

- cos (x) = - sin (x)

Bagi kedua ruas

\frac{- cos ( x )}{sin ( x )} = - 1

Bagi suku-sukunya

More Steps

Evaluasi

\frac{- cos ( x )}{sin ( x )}

Gunakan \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} untuk menulis ulang pecahan tersebut

- \frac{cos ( x )}{sin ( x )}

Tulis ulang ungkapan tersebut

- sin^{- 1} (x) cos (x)

Tulis ulang ungkapan tersebut

- cot (x)

- cot (x) = - 1

Kalikan kedua sisi persamaan dengan - 1

- cot (x) (- 1) = - (- 1)

Menghitung

cot (x) = - (- 1)

Mengalikan atau membagi sejumlah suku negatif genap akan menghasilkan bilangan positif.

cot (x) = 1

Gunakan fungsi trigonometri invers.

x = arccot (1)

Menghitung

x = \frac{π}{4}

Solution

x = \frac{π}{4} + kπ, k \in Z

Bentuk Alternatif

x = 4 5^{\circ} + 18 0^{\circ} k, k \in Z

Bentuk Alternatif

x \approx 0.785398 + kπ, k \in Z

Show Solution

Frequently Asked Questions

$Selesaikan untuk x$ $\sin(x)-\cos(x)=0$

$x = \frac{π}{4} + kπ, k \in Z$

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Bahasa Indonesia

sin(x)-cos(x)=0

Selesaikan persamaan tersebut.

Frequently Asked Questions

Selesaikan untuk x \(\sin(x)-\cos(x)=0\)

$Selesaikan untuk x$ \(\sin(x)-\cos(x)=0\)