Solve 6*sin48^circ/8

$$6 \cdot \frac { \sin 48 ^ { \circ } } { 8 }$$

Evaluate

$$0.557358619108045575$$

Solution Steps

Evaluate trigonometric functions in the problem

$$6 \cdot \frac{0.7431448254773941}{8}$$

Expand \frac{0.7431448254773941}{8} by multiplying both numerator and the denominator by 10000000000000000.

$$6\times \frac{7431448254773941}{80000000000000000}$$

Express 6\times \frac{7431448254773941}{80000000000000000} as a single fraction.

$$\frac{6\times 7431448254773941}{80000000000000000}$$

Multiply 6 and 7431448254773941 to get 44588689528643646.

$$\frac{44588689528643646}{80000000000000000}$$

Reduce the fraction \frac{44588689528643646}{80000000000000000} to lowest terms by extracting and canceling out 2.

$$\frac{22294344764321823}{40000000000000000}$$

Factor

$$\frac{3 \cdot 7431448254773941}{2 ^ {18} \cdot 5 ^ {16}} = 0.5573586191080456$$