{left(cos(45^circ)right)}^2-1/2tan(45^circ)+tan(30^circ) eching

$${ \left( \cos ( 45 ^ { \circ } ) \right) }^{ 2 } - \frac{ 1 }{ 2 } \tan ( 45 ^ { \circ } ) + \tan ( 30 ^ { \circ } )$$

Baholash

$$\frac{\sqrt{3}}{3}\approx 0,577350269$$

Qisqa yechim qadamlari

Trigonometrik qiymatlar jadvaldan \cos(45) qiymatini oling.

$$\left(\frac{\sqrt{2}}{2}\right)^{2}-\frac{1}{2}\tan(45)+\tan(30)$$

\frac{\sqrt{2}}{2}ni darajaga oshirish uchun, surat va maxrajni darajaga oshirib, keyin bo‘ling.

$$\frac{\left(\sqrt{2}\right)^{2}}{2^{2}}-\frac{1}{2}\tan(45)+\tan(30)$$

Trigonometrik qiymatlar jadvaldan \tan(45) qiymatini oling.

$$\frac{\left(\sqrt{2}\right)^{2}}{2^{2}}-\frac{1}{2}\times 1+\tan(30)$$

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

$$\frac{\left(\sqrt{2}\right)^{2}}{2^{2}}-\frac{1}{2}+\tan(30)$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 2^{2} va 2 ning eng kichik umumiy karralisi 4. \frac{1}{2} ni \frac{2}{2} marotabaga ko'paytirish.

$$\frac{\left(\sqrt{2}\right)^{2}}{4}-\frac{2}{4}+\tan(30)$$

\frac{\left(\sqrt{2}\right)^{2}}{4} va \frac{2}{4} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{\left(\sqrt{2}\right)^{2}-2}{4}+\tan(30)$$

Trigonometrik qiymatlar jadvaldan \tan(30) qiymatini oling.

$$\frac{\left(\sqrt{2}\right)^{2}-2}{4}+\frac{\sqrt{3}}{3}$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 4 va 3 ning eng kichik umumiy karralisi 12. \frac{\left(\sqrt{2}\right)^{2}-2}{4} ni \frac{3}{3} marotabaga ko'paytirish. \frac{\sqrt{3}}{3} ni \frac{4}{4} marotabaga ko'paytirish.

$$\frac{3\left(\left(\sqrt{2}\right)^{2}-2\right)}{12}+\frac{4\sqrt{3}}{12}$$

\frac{3\left(\left(\sqrt{2}\right)^{2}-2\right)}{12} va \frac{4\sqrt{3}}{12} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$\frac{3\left(\left(\sqrt{2}\right)^{2}-2\right)+4\sqrt{3}}{12}$$

\sqrt{2} kvadrati – 2.

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

0 olish uchun 2 dan 2 ni ayirish.

$$\frac{0}{4}+\frac{\sqrt{3}}{3}$$

Nol bo‘lmagan har qanday sonni nolga ko‘paytirsangiz, nol bo‘ladi.

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

Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$\frac{\sqrt{3}}{3}$$