Solve sin(48)/63*22

$$\frac{ \sin ( 48 ) }{ 63 } \times 22$$

Evaluate

$$\frac{81745930802513351}{315000000000000000}\approx 0.259510891$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{0.7431448254773941}{63} \cdot 22$$

Expand \frac{0.7431448254773941}{63} by multiplying both numerator and the denominator by 10000000000000000.

$$\frac{7431448254773941}{630000000000000000}\times 22$$

Express \frac{7431448254773941}{630000000000000000}\times 22 as a single fraction.

$$\frac{7431448254773941\times 22}{630000000000000000}$$

Multiply 7431448254773941 and 22 to get 163491861605026702.

$$\frac{163491861605026702}{630000000000000000}$$

Reduce the fraction \frac{163491861605026702}{630000000000000000} to lowest terms by extracting and canceling out 2.

$$\frac{81745930802513351}{315000000000000000}$$

Factor

$$\frac{11 \cdot 7431448254773941}{7 \cdot 2 ^ {15} \cdot 3 ^ {2} \cdot 5 ^ {16}} = 0.2595108914365503$$