Solve cos(400)div45div4div5

$$\cos ( 400 ) \div 45 \div 4 \div 5$$

Evaluate

$$\frac{7660444431189781}{9000000000000000000}\approx 0.00085116$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.7660444431189781 / 45 / 4 / 5$$

Express \frac{\frac{\frac{0.7660444431189781}{45}}{4}}{5} as a single fraction.

$$\frac{\frac{0.7660444431189781}{45}}{4\times 5}$$

Expand \frac{0.7660444431189781}{45} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{\frac{7660444431189781}{450000000000000000}}{4\times 5}$$

Multiply 4 and 5 to get 20.

$$\frac{\frac{7660444431189781}{450000000000000000}}{20}$$

Express \frac{\frac{7660444431189781}{450000000000000000}}{20} as a single fraction.

$$\frac{7660444431189781}{450000000000000000\times 20}$$

Multiply 450000000000000000 and 20 to get 9000000000000000000.

$$\frac{7660444431189781}{9000000000000000000}$$

Factor

$$\frac{7 \cdot 11 \cdot 5309 \cdot 18739177117}{2 ^ {18} \cdot 3 ^ {2} \cdot 5 ^ {18}} = 0.0008511604923544201$$