Riješi 100/sqrt{2}7*3/sqrt{2}cos(433)

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

Izračunaj

$$306,990289958873115$$

Koraci rješenja

Evaluate trigonometric functions in the problem

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

Racionalizirajte nazivnik \frac{100}{\sqrt{2}} množenje brojnik i nazivnik \sqrt{2}.

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

Kvadrat od \sqrt{2} je 2.

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

Podijelite 100\sqrt{2} s 2 da biste dobili 50\sqrt{2}.

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

Pomnožite 0,2923717047227363 i 50 da biste dobili 14,618585236136815.

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

Pomnožite 7 i 3 da biste dobili 21.

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

Racionalizirajte nazivnik \frac{21}{\sqrt{2}} množenje brojnik i nazivnik \sqrt{2}.

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

Kvadrat od \sqrt{2} je 2.

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

Izrazite \sqrt{2}\times \frac{21\sqrt{2}}{2} kao jedan razlomak.

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

Pomnožite \sqrt{2} i \sqrt{2} da biste dobili 2.

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

Skraćivanje 2 i 2.

$$14,618585236136815\times 21$$

Pomnožite 14,618585236136815 i 21 da biste dobili 306,990289958873115.

$$306,990289958873115$$

Faktor

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