Solve 1.3cos(1.3)-2*1.3^2+3*1.3-1

$$1.3 \cos ( 1.3 ) -2 \times { 1.3 }^{ 2 } +3 \times 1.3-1$$

Evaluate

$$0.81966539211950779$$

Solution Steps

Evaluate trigonometric functions in the problem

$$1.3 \cdot 0.9997426093226983 - 2 \cdot {(1.3)} ^ {2} + 3 \cdot 1.3 - 1$$

Multiply 1.3 and 0.9997426093226983 to get 1.29966539211950779.

$$1.29966539211950779-2\times 1.3^{2}+3\times 1.3-1$$

Calculate 1.3 to the power of 2 and get 1.69.

$$1.29966539211950779-2\times 1.69+3\times 1.3-1$$

Multiply 2 and 1.69 to get 3.38.

$$1.29966539211950779-3.38+3\times 1.3-1$$

Subtract 3.38 from 1.29966539211950779 to get -2.08033460788049221.

$$-2.08033460788049221+3\times 1.3-1$$

Multiply 3 and 1.3 to get 3.9.

$$-2.08033460788049221+3.9-1$$

Add -2.08033460788049221 and 3.9 to get 1.81966539211950779.

$$1.81966539211950779-1$$

Subtract 1 from 1.81966539211950779 to get 0.81966539211950779.

$$0.81966539211950779$$

Factor

$$\frac{81966539211950779}{2 ^ {17} \cdot 5 ^ {17}} = 0.8196653921195078$$