Whakaoti i te 99*19sqrt{2}div9(2%5sqrt{5})6-5+2*99cos(5)

$$99 \times 19 \sqrt{ 2 } \div 9(2 \% 5 \sqrt{ 5 } )6-5+2 \times 99 \cos ( 5 )$$

Aromātai

$$\frac{627\sqrt{10}}{5}+192.246550222165609\approx 588.796168807$$

Ngā Upane Otinga

Evaluate trigonometric functions in the problem

$$99 \cdot 19 \sqrt{2} / 9 {(\frac{2}{100} 5 \sqrt{5})} 6 - 5 + 2 \cdot 99 \cdot 0.9961946980917455$$

Whakareatia te 19 ki te 99, ka 1881.

$$6\times \frac{1881\sqrt{2}}{9}\times 5\times \frac{2}{100}\sqrt{5}-5+2\times 99\times 0.9961946980917455$$

Whakawehea te 1881\sqrt{2} ki te 9, kia riro ko 209\sqrt{2}.

$$6\times 209\sqrt{2}\times 5\times \frac{2}{100}\sqrt{5}-5+2\times 99\times 0.9961946980917455$$

Whakareatia te 6 ki te 209, ka 1254.

$$1254\sqrt{2}\times 5\times \frac{2}{100}\sqrt{5}-5+2\times 99\times 0.9961946980917455$$

Whakareatia te 1254 ki te 5, ka 6270.

$$6270\sqrt{2}\times \frac{2}{100}\sqrt{5}-5+2\times 99\times 0.9961946980917455$$

Whakahekea te hautanga \frac{2}{100} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$6270\sqrt{2}\times \frac{1}{50}\sqrt{5}-5+2\times 99\times 0.9961946980917455$$

Whakareatia te 6270 ki te \frac{1}{50}, ka \frac{6270}{50}.

$$\frac{6270}{50}\sqrt{2}\sqrt{5}-5+2\times 99\times 0.9961946980917455$$

Whakahekea te hautanga \frac{6270}{50} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 10.

$$\frac{627}{5}\sqrt{2}\sqrt{5}-5+2\times 99\times 0.9961946980917455$$

Hei whakarea \sqrt{2} me \sqrt{5}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{627}{5}\sqrt{10}-5+2\times 99\times 0.9961946980917455$$

Whakareatia te 2 ki te 99, ka 198.

$$\frac{627}{5}\sqrt{10}-5+198\times 0.9961946980917455$$

Whakareatia te 198 ki te 0.9961946980917455, ka 197.246550222165609.

$$\frac{627}{5}\sqrt{10}-5+197.246550222165609$$

Tāpirihia te -5 ki te 197.246550222165609, ka 192.246550222165609.

$$\frac{627}{5}\sqrt{10}+192.246550222165609$$

Tauwehe

$$\frac{125400000000000000 \sqrt{10} + 192246550222165609}{1000000000000000} = 588\frac{796168807280384}{1000000000000000} = 588.7961688072804$$