sin45^circ+3tan30^circ+tan60^circ-2cos60^circ eching

$$\sin 45 ^ { \circ } + 3 \tan 30 ^ { \circ } + \tan 60 ^ { \circ } - 2 \cos 60 ^ { \circ }$$

Baholash

$$\frac{\sqrt{2}}{2}+2\sqrt{3}-1\approx 3,171208396$$

Qisqa yechim qadamlari

Trigonometrik qiymatlar jadvaldan \sin(45) qiymatini oling.

$$\frac{\sqrt{2}}{2}+3\tan(30)+\tan(60)-2\cos(60)$$

Trigonometrik qiymatlar jadvaldan \tan(30) qiymatini oling.

$$\frac{\sqrt{2}}{2}+3\times \frac{\sqrt{3}}{3}+\tan(60)-2\cos(60)$$

3 va 3 ni qisqartiring.

$$\frac{\sqrt{2}}{2}+\sqrt{3}+\tan(60)-2\cos(60)$$

Trigonometrik qiymatlar jadvaldan \tan(60) qiymatini oling.

$$\frac{\sqrt{2}}{2}+\sqrt{3}+\sqrt{3}-2\cos(60)$$

2\sqrt{3} ni olish uchun \sqrt{3} va \sqrt{3} ni birlashtirish.

$$\frac{\sqrt{2}}{2}+2\sqrt{3}-2\cos(60)$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2\sqrt{3} ni \frac{2}{2} marotabaga ko'paytirish.

$$\frac{\sqrt{2}}{2}+\frac{2\times 2\sqrt{3}}{2}-2\cos(60)$$

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

$$\frac{\sqrt{2}+2\times 2\sqrt{3}}{2}-2\cos(60)$$

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

$$\frac{\sqrt{2}+4\sqrt{3}}{2}-2\cos(60)$$

Trigonometrik qiymatlar jadvaldan \cos(60) qiymatini oling.

$$\frac{\sqrt{2}+4\sqrt{3}}{2}-2\times \frac{1}{2}$$

1 hosil qilish uchun 2 va \frac{1}{2} ni ko'paytirish.

$$\frac{\sqrt{2}+4\sqrt{3}}{2}-1$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1 ni \frac{2}{2} marotabaga ko'paytirish.

$$\frac{\sqrt{2}+4\sqrt{3}}{2}-\frac{2}{2}$$

\frac{\sqrt{2}+4\sqrt{3}}{2} va \frac{2}{2} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\sqrt{2}+4\sqrt{3}-2}{2}$$