Whakaoti i te 100/sqrt{2}7*3/sqrt{2}cos(433)

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

Aromātai

$$306.990289958873115$$

Ngā Upane Otinga

Evaluate trigonometric functions in the problem

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

Whakangāwaritia te tauraro o \frac{100}{\sqrt{2}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{2}.

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

Ko te pūrua o \sqrt{2} ko 2.

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

Whakawehea te 100\sqrt{2} ki te 2, kia riro ko 50\sqrt{2}.

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

Whakareatia te 0.2923717047227363 ki te 50, ka 14.618585236136815.

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

Whakareatia te 7 ki te 3, ka 21.

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

Whakangāwaritia te tauraro o \frac{21}{\sqrt{2}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{2}.

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

Ko te pūrua o \sqrt{2} ko 2.

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

Tuhia te \sqrt{2}\times \frac{21\sqrt{2}}{2} hei hautanga kotahi.

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

Whakareatia te \sqrt{2} ki te \sqrt{2}, ka 2.

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

Me whakakore te 2 me te 2.

$$14.618585236136815\times 21$$

Whakareatia te 14.618585236136815 ki te 21, ka 306.990289958873115.

$$306.990289958873115$$

Tauwehe

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