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

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

Arvuta

$$306,990289958873115$$

Lahenduse etapid

Evaluate trigonometric functions in the problem

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

Ratsionaliseerige korrutades lugeja ja \sqrt{2} nimetaja \frac{100}{\sqrt{2}} nimetaja.

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

\sqrt{2} ruut on 2.

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

Jagage 100\sqrt{2} väärtusega 2, et leida 50\sqrt{2}.

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

Korrutage 0,2923717047227363 ja 50, et leida 14,618585236136815.

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

Korrutage 7 ja 3, et leida 21.

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

Ratsionaliseerige korrutades lugeja ja \sqrt{2} nimetaja \frac{21}{\sqrt{2}} nimetaja.

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

\sqrt{2} ruut on 2.

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

Avaldage \sqrt{2}\times \frac{21\sqrt{2}}{2} ühe murdarvuna.

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

Korrutage \sqrt{2} ja \sqrt{2}, et leida 2.

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

Taandage 2 ja 2.

$$14,618585236136815\times 21$$

Korrutage 14,618585236136815 ja 21, et leida 306,990289958873115.

$$306,990289958873115$$

Lahuta teguriteks

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