100/sqrt{2}7*3/sqrt{2}cos(433) eching

$$\frac{ 100 }{ \sqrt{ 2 } } \frac{ 7 \cdot 3 }{ \sqrt{ 2 } } \cos ( 433 )$$

Baholash

$$306,990289958873115$$

Yechim qadamlari

Evaluate trigonometric functions in the problem

$$\frac{100}{\sqrt{2}} \frac{7 \cdot 3}{\sqrt{2}} 0,2923717047227363$$

\frac{100}{\sqrt{2}} maxrajini \sqrt{2} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$0,2923717047227363\times \frac{100\sqrt{2}}{\left(\sqrt{2}\right)^{2}}\times \frac{7\times 3}{\sqrt{2}}$$

\sqrt{2} kvadrati – 2.

$$0,2923717047227363\times \frac{100\sqrt{2}}{2}\times \frac{7\times 3}{\sqrt{2}}$$

50\sqrt{2} ni olish uchun 100\sqrt{2} ni 2 ga bo‘ling.

$$0,2923717047227363\times 50\sqrt{2}\times \frac{7\times 3}{\sqrt{2}}$$

14,618585236136815 hosil qilish uchun 0,2923717047227363 va 50 ni ko'paytirish.

$$14,618585236136815\sqrt{2}\times \frac{7\times 3}{\sqrt{2}}$$

21 hosil qilish uchun 7 va 3 ni ko'paytirish.

$$14,618585236136815\sqrt{2}\times \frac{21}{\sqrt{2}}$$

\frac{21}{\sqrt{2}} maxrajini \sqrt{2} orqali surat va maxrajini koʻpaytirish orqali ratsionallashtiring.

$$14,618585236136815\sqrt{2}\times \frac{21\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

\sqrt{2} kvadrati – 2.

$$14,618585236136815\sqrt{2}\times \frac{21\sqrt{2}}{2}$$

\sqrt{2}\times \frac{21\sqrt{2}}{2} ni yagona kasrga aylantiring.

$$14,618585236136815\times \frac{\sqrt{2}\times 21\sqrt{2}}{2}$$

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

$$14,618585236136815\times \frac{2\times 21}{2}$$

2 va 2 ni qisqartiring.

$$14,618585236136815\times 21$$

306,990289958873115 hosil qilish uchun 14,618585236136815 va 21 ni ko'paytirish.

$$306,990289958873115$$

Omil

$$\frac{3 \cdot 7 \cdot 373 \cdot 25679 \cdot 305244889}{2 ^ {15} \cdot 5 ^ {14}} = 306\frac{198057991774624}{200000000000000} = 306,9902899588731$$