Solve 2*cos(2029)-2029*sin(2029)

$$2 \times \cos ( 2029 ) -2029 \times \sin ( 2029 )$$

Evaluate

$$1529.9936202140264203$$

Solution Steps

Evaluate trigonometric functions in the problem

$$2 \cdot -0.6560590289905056 - 2029 \cdot -0.7547095802227735$$

Multiply 2 and -0.6560590289905056 to get -1.3121180579810112.

$$-1.3121180579810112-2029\left(-0.7547095802227735\right)$$

Multiply 2029 and -0.7547095802227735 to get -1531.3057382720074315.

$$-1.3121180579810112-\left(-1531.3057382720074315\right)$$

The opposite of -1531.3057382720074315 is 1531.3057382720074315.

$$-1.3121180579810112+1531.3057382720074315$$

Add -1.3121180579810112 and 1531.3057382720074315 to get 1529.9936202140264203.

$$1529.9936202140264203$$

Factor

$$\frac{479 \cdot 2957 \cdot 16631 \cdot 63671 \cdot 101 ^ {2}}{2 ^ {16} \cdot 5 ^ {16}} = 1529\frac{9936202140264448}{10000000000000000} = 1529.9936202140264$$