tan(4pi/3) eching

$$\tan ( \frac { 4 \pi } { 3 } )$$

Baholash

$$\sqrt{3}\approx 1,732050808$$

Yechim qadamlari

Natijani olish uchun x=\pi va y=\frac{\pi }{3} boʻlganda, \tan(x+y)=\frac{\tan(x)+\tan(y)}{1-\tan(x)\tan(y)} formulasidan foydalaning.

$$\tan(\pi +\frac{\pi }{3})=\frac{\tan(\pi )+\tan(\frac{\pi }{3})}{1-\tan(\pi )\tan(\frac{\pi }{3})}$$

Trigonometrik qiymatlar jadvaldan \tan(\pi ) qiymatini oling. Surat va maxrajdagi qiymatni almashtiring.

$$\frac{0+\tan(\frac{\pi }{3})}{1-0\tan(\frac{\pi }{3})}$$

Trigonometrik qiymatlar jadvaldan \tan(\frac{\pi }{3}) qiymatini oling. Surat va maxrajdagi qiymatni almashtiring.

$$\frac{0+\sqrt{3}}{1-0\sqrt{3}}$$

Hisoblarni amalga oshiring.

$$\sqrt{3}$$