Solve (2.5-5*cos(75^circ))*9.81/5

$$\frac { ( 2.5 - 5 \times \cos ( 75 ^ { \circ } ) ) \times 9.81 } { 5 }$$

Evaluate

$$2.3659851675442715406$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{{(2.5 - 5 \cdot 0.25881904510252074)} \cdot 9.81}{5}$$

Multiply 5 and 0.25881904510252074 to get 1.2940952255126037.

$$\frac{\left(2.5-1.2940952255126037\right)\times 9.81}{5}$$

Subtract 1.2940952255126037 from 2.5 to get 1.2059047744873963.

$$\frac{1.2059047744873963\times 9.81}{5}$$

Multiply 1.2059047744873963 and 9.81 to get 11.829925837721357703.

$$\frac{11.829925837721357703}{5}$$

Expand \frac{11.829925837721357703}{5} by multiplying both numerator and the denominator by 1000000000000000000.

$$\frac{11829925837721357703}{5000000000000000000}$$

Factor

$$\frac{53 \cdot 109 \cdot 227529202733471 \cdot 3 ^ {2}}{2 ^ {18} \cdot 5 ^ {19}} = 2\frac{1.8299258377213583 \times 10^{18}}{5 \times 10^{18}} = 2.3659851675442716$$