Solve 2*cos(2028)-2028*sin(2028)

$$2 \times \cos ( 2028 ) -2028 \times \sin ( 2028 )$$

Evaluate

$$1505.7594448554375182$$

Solution Steps

Evaluate trigonometric functions in the problem

$$2 \cdot -0.6691306063588583 - 2028 \cdot -0.7431448254773941$$

Multiply 2 and -0.6691306063588583 to get -1.3382612127177166.

$$-1.3382612127177166-2028\left(-0.7431448254773941\right)$$

Multiply 2028 and -0.7431448254773941 to get -1507.0977060681552348.

$$-1.3382612127177166-\left(-1507.0977060681552348\right)$$

The opposite of -1507.0977060681552348 is 1507.0977060681552348.

$$-1.3382612127177166+1507.0977060681552348$$

Add -1.3382612127177166 and 1507.0977060681552348 to get 1505.7594448554375182.

$$1505.7594448554375182$$

Factor

$$\frac{17 \cdot 442870424957481623}{2 ^ {15} \cdot 5 ^ {16}} = 1505\frac{3797224277187584}{5000000000000000} = 1505.7594448554376$$