Solve 9.81(2.5-5cos(34^circ))/7.5

$$\frac { 9.81 ( 2.5 - 5 \cos ( 34 ^ { \circ } ) ) } { 7.5 }$$

Evaluate

$$-2.151905724509972718$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{9.81 {(2.5 - 5 \cdot 0.8290375725550417)}}{7.5}$$

Multiply 5 and 0.8290375725550417 to get 4.1451878627752085.

$$\frac{9.81\left(2.5-4.1451878627752085\right)}{7.5}$$

Subtract 4.1451878627752085 from 2.5 to get -1.6451878627752085.

$$\frac{9.81\left(-1.6451878627752085\right)}{7.5}$$

Multiply 9.81 and -1.6451878627752085 to get -16.139292933824795385.

$$\frac{-16.139292933824795385}{7.5}$$

Expand \frac{-16.139292933824795385}{7.5} by multiplying both numerator and the denominator by 1000000000000000000.

$$\frac{-16139292933824795385}{7500000000000000000}$$

Reduce the fraction \frac{-16139292933824795385}{7500000000000000000} to lowest terms by extracting and canceling out 15.

$$-\frac{1075952862254986359}{500000000000000000}$$

Factor

$$-2.151905724509972718$$