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

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

Luacháil

$$306.990289958873115$$

Céimeanna Réitigh

Evaluate trigonometric functions in the problem

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

Iolraigh an t-uimhreoir agus an t-ainmneoir faoi \sqrt{2} chun ainmneoir \frac{100}{\sqrt{2}} a thiontú in uimhir chóimheasta.

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

Is é 2 uimhir chearnach \sqrt{2}.

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

Roinn 100\sqrt{2} faoi 2 chun 50\sqrt{2} a fháil.

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

Méadaigh 0.2923717047227363 agus 50 chun 14.618585236136815 a fháil.

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

Méadaigh 7 agus 3 chun 21 a fháil.

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

Iolraigh an t-uimhreoir agus an t-ainmneoir faoi \sqrt{2} chun ainmneoir \frac{21}{\sqrt{2}} a thiontú in uimhir chóimheasta.

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

Is é 2 uimhir chearnach \sqrt{2}.

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

Scríobh \sqrt{2}\times \frac{21\sqrt{2}}{2} mar chodán aonair.

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

Méadaigh \sqrt{2} agus \sqrt{2} chun 2 a fháil.

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

Cealaigh 2 agus 2.

$$14.618585236136815\times 21$$

Méadaigh 14.618585236136815 agus 21 chun 306.990289958873115 a fháil.

$$306.990289958873115$$

Fachtóirigh

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