tan(phi)=10m/50m eching

$$\tan ( \phi ) = \frac{ 10m }{ 50m }$$

m uchun yechish (complex solution)

$$m\neq 0$$

$$\exists n_{2}\in \mathrm{Z}\text{ : }ϕ=\pi n_{2}+\arctan(\frac{1}{5})\text{ and }\nexists n_{1}\in \mathrm{Z}\text{ : }ϕ=\frac{\pi \left(2n_{1}+1\right)}{2}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

m qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 50m ga ko'paytirish.

$$50m\tan(ϕ)=10m$$

Ikkala tarafdan 10m ni ayirish.

$$50m\tan(ϕ)-10m=0$$

m'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(50\tan(ϕ)-10\right)m=0$$

0 ni 50\tan(ϕ)-10 ga bo'lish.

$$m=0$$

m qiymati 0 teng bo‘lmaydi.

$$m\in \emptyset$$

m uchun yechish

$$m\neq 0$$

$$\exists n_{1}\in \mathrm{Z}\text{ : }ϕ=\pi n_{1}+\arcsin(\frac{\sqrt{26}}{26})$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

m qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini 50m ga ko'paytirish.

$$50m\tan(ϕ)=10m$$

Ikkala tarafdan 10m ni ayirish.

$$50m\tan(ϕ)-10m=0$$

m'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(50\tan(ϕ)-10\right)m=0$$

0 ni 50\tan(ϕ)-10 ga bo'lish.

$$m=0$$

m qiymati 0 teng bo‘lmaydi.

$$m\in \emptyset$$

ϕ uchun yechish (complex solution)

$$ϕ=\pi n_{1}+\arctan(\frac{1}{5})$$

$$n_{1}\in \mathrm{Z}$$

ϕ uchun yechish

$$ϕ=\pi n_{1}+\arcsin(\frac{\sqrt{26}}{26})$$

$$n_{1}\in \mathrm{Z}$$