Solve 1000*800/sin(10)cos(10)450=

$$\frac{ 1000 \cdot 800 }{ \sin ( 10 ) \cos ( 10 ) 450 } =$$

Evaluate

$$\frac{100000000000000000000000000000000000}{9619316531034431492689108620111}\approx 10395.748978358$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{1000 \cdot 800}{0.17364817766693033 \cdot 0.984807753012208 \cdot 450}$$

Cancel out 50 in both numerator and denominator.

$$\frac{20\times 800}{0.17364817766693033\times 0.984807753012208\times 9}$$

Multiply 20 and 800 to get 16000.

$$\frac{16000}{0.17364817766693033\times 0.984807753012208\times 9}$$

Multiply 0.17364817766693033 and 0.984807753012208 to get 0.17101007166283433764780637546864.

$$\frac{16000}{0.17101007166283433764780637546864\times 9}$$

Multiply 0.17101007166283433764780637546864 and 9 to get 1.53909064496550903883025737921776.

$$\frac{16000}{1.53909064496550903883025737921776}$$

Expand \frac{16000}{1.53909064496550903883025737921776} by multiplying both numerator and the denominator by 100000000000000000000000000000000.

$$\frac{1600000000000000000000000000000000000}{153909064496550903883025737921776}$$

Reduce the fraction \frac{1600000000000000000000000000000000000}{153909064496550903883025737921776} to lowest terms by extracting and canceling out 16.

$$\frac{100000000000000000000000000000000000}{9619316531034431492689108620111}$$

Factor

$$\frac{2 ^ {35} \cdot 5 ^ {35}}{7 \cdot 13 \cdot 59 \cdot 241 \cdot 443 \cdot 2399 \cdot 57915859 \cdot 13420224577 \cdot 3 ^ {2}} = 10395\frac{7.204659897081719 \times 10^{30}}{9.619316531034432 \times 10^{30}} = 10395.748978357646$$