Solve cos(645)/45/4/5

$$\frac{ \frac{ \frac{ \cos ( 645 ) }{ 45 } }{ 4 } }{ 5 }$$

Evaluate

$$\frac{2588190451025201}{9000000000000000000}\approx 0.000287577$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{\frac{\frac{0.2588190451025201}{45}}{4}}{5}$$

Express \frac{\frac{\frac{0.2588190451025201}{45}}{4}}{5} as a single fraction.

$$\frac{\frac{0.2588190451025201}{45}}{4\times 5}$$

Expand \frac{0.2588190451025201}{45} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{\frac{2588190451025201}{450000000000000000}}{4\times 5}$$

Multiply 4 and 5 to get 20.

$$\frac{\frac{2588190451025201}{450000000000000000}}{20}$$

Express \frac{\frac{2588190451025201}{450000000000000000}}{20} as a single fraction.

$$\frac{2588190451025201}{450000000000000000\times 20}$$

Multiply 450000000000000000 and 20 to get 9000000000000000000.

$$\frac{2588190451025201}{9000000000000000000}$$

Factor

$$\frac{59 \cdot 2521 \cdot 8581 \cdot 16759 \cdot 11 ^ {2}}{2 ^ {18} \cdot 3 ^ {2} \cdot 5 ^ {18}} = 0.00028757671678057787$$