Solve 1/2*7*12*sin(46^circ)

$$\frac{ 1 }{ 2 } \times 7 \times 12 \times \sin ( 46 ^ { \circ } )$$

Evaluate

$$30.2122716142233462$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{1}{2} \cdot 7 \cdot 12 \cdot 0.7193398003386511$$

Multiply \frac{1}{2} and 7 to get \frac{7}{2}.

$$\frac{7}{2}\times 12\times 0.7193398003386511$$

Express \frac{7}{2}\times 12 as a single fraction.

$$\frac{7\times 12}{2}\times 0.7193398003386511$$

Multiply 7 and 12 to get 84.

$$\frac{84}{2}\times 0.7193398003386511$$

Divide 84 by 2 to get 42.

$$42\times 0.7193398003386511$$

Multiply 42 and 0.7193398003386511 to get 30.2122716142233462.

$$30.2122716142233462$$

Factor

$$\frac{3 \cdot 12973 \cdot 1616588749 \cdot 7 ^ {4}}{2 ^ {15} \cdot 5 ^ {16}} = 30\frac{1061358071116736}{5000000000000000} = 30.212271614223347$$