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

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

Enrhifo

$$306.990289958873115$$

Camau Ateb

Evaluate trigonometric functions in the problem

$$\frac{100}{\sqrt{2}} \frac{7 \cdot 3}{\sqrt{2}} 0.2923717047227363$$

Mae'n rhesymoli enwadur \frac{100}{\sqrt{2}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{2}.

$$0.2923717047227363\times \frac{100\sqrt{2}}{\left(\sqrt{2}\right)^{2}}\times \frac{7\times 3}{\sqrt{2}}$$

Sgwâr \sqrt{2} yw 2.

$$0.2923717047227363\times \frac{100\sqrt{2}}{2}\times \frac{7\times 3}{\sqrt{2}}$$

Rhannu 100\sqrt{2} â 2 i gael 50\sqrt{2}.

$$0.2923717047227363\times 50\sqrt{2}\times \frac{7\times 3}{\sqrt{2}}$$

Lluosi 0.2923717047227363 a 50 i gael 14.618585236136815.

$$14.618585236136815\sqrt{2}\times \frac{7\times 3}{\sqrt{2}}$$

Lluosi 7 a 3 i gael 21.

$$14.618585236136815\sqrt{2}\times \frac{21}{\sqrt{2}}$$

Mae'n rhesymoli enwadur \frac{21}{\sqrt{2}} drwy luosi'r rhifiadur a'r enwadur â \sqrt{2}.

$$14.618585236136815\sqrt{2}\times \frac{21\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

Sgwâr \sqrt{2} yw 2.

$$14.618585236136815\sqrt{2}\times \frac{21\sqrt{2}}{2}$$

Mynegwch \sqrt{2}\times \frac{21\sqrt{2}}{2} fel ffracsiwn unigol.

$$14.618585236136815\times \frac{\sqrt{2}\times 21\sqrt{2}}{2}$$

Lluosi \sqrt{2} a \sqrt{2} i gael 2.

$$14.618585236136815\times \frac{2\times 21}{2}$$

Canslo 2 a 2.

$$14.618585236136815\times 21$$

Lluosi 14.618585236136815 a 21 i gael 306.990289958873115.

$$306.990289958873115$$

Ffactor

$$\frac{3 \cdot 7 \cdot 373 \cdot 25679 \cdot 305244889}{2 ^ {15} \cdot 5 ^ {14}} = 306\frac{198057991774624}{200000000000000} = 306.9902899588731$$