Solve 1/2left(2.2cos(51)-1.8cos(55)right)

$$\frac{ 1 }{ 2 } \left( 2.2 \cos ( 51 ) -1.8 \cos ( 55 ) \right)$$

Evaluate

$$0.17603363743887985$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{1}{2} {(2.2 \cdot 0.6293203910498375 - 1.8 \cdot 0.573576436351046)}$$

Multiply 2.2 and 0.6293203910498375 to get 1.3845048603096425.

$$\frac{1}{2}\left(1.3845048603096425-1.8\times 0.573576436351046\right)$$

Multiply 1.8 and 0.573576436351046 to get 1.0324375854318828.

$$\frac{1}{2}\left(1.3845048603096425-1.0324375854318828\right)$$

Subtract 1.0324375854318828 from 1.3845048603096425 to get 0.3520672748777597.

$$\frac{1}{2}\times 0.3520672748777597$$

Convert decimal number 0.3520672748777597 to fraction \frac{3520672748777597}{10000000000}. Reduce the fraction \frac{3520672748777597}{10000000000} to lowest terms by extracting and canceling out 1.

$$\frac{1}{2}\times \frac{3520672748777597}{10000000000000000}$$

Multiply \frac{1}{2} times \frac{3520672748777597}{10000000000000000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 3520672748777597}{2\times 10000000000000000}$$

Do the multiplications in the fraction \frac{1\times 3520672748777597}{2\times 10000000000000000}.

$$\frac{3520672748777597}{20000000000000000}$$

Factor

$$\frac{7 \cdot 571 \cdot 880828808801}{2 ^ {17} \cdot 5 ^ {16}} = 0.17603363743887984$$