15cos(45)+7tan(30) eching

$$15 \cos ( 45 ) +7 \tan ( 30 )$$

Baholash

$$\frac{7\sqrt{3}}{3}+\frac{15\sqrt{2}}{2}\approx 14,648053602$$

Qisqa yechim qadamlari

Trigonometrik qiymatlar jadvaldan \cos(45) qiymatini oling.

$$15\times \frac{\sqrt{2}}{2}+7\tan(30)$$

15\times \frac{\sqrt{2}}{2} ni yagona kasrga aylantiring.

$$\frac{15\sqrt{2}}{2}+7\tan(30)$$

Trigonometrik qiymatlar jadvaldan \tan(30) qiymatini oling.

$$\frac{15\sqrt{2}}{2}+7\times \frac{\sqrt{3}}{3}$$

7\times \frac{\sqrt{3}}{3} ni yagona kasrga aylantiring.

$$\frac{15\sqrt{2}}{2}+\frac{7\sqrt{3}}{3}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2 va 3 ning eng kichik umumiy karralisi 6. \frac{15\sqrt{2}}{2} ni \frac{3}{3} marotabaga ko'paytirish. \frac{7\sqrt{3}}{3} ni \frac{2}{2} marotabaga ko'paytirish.

$$\frac{3\times 15\sqrt{2}}{6}+\frac{2\times 7\sqrt{3}}{6}$$

\frac{3\times 15\sqrt{2}}{6} va \frac{2\times 7\sqrt{3}}{6} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3\times 15\sqrt{2}+2\times 7\sqrt{3}}{6}$$

3\times 15\sqrt{2}+2\times 7\sqrt{3} ichidagi ko‘paytirishlarni bajaring.

$$\frac{45\sqrt{2}+14\sqrt{3}}{6}$$