Solve 7.4sin(41)/sin(71)

$$\frac{ 7.4 \sin ( 41 ) }{ \sin ( 71 ) }$$

Evaluate

$$\frac{242741840726487664}{47275928779965835}\approx 5.134575819$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{7.4 \cdot 0.6560590289905072}{0.9455185755993167}$$

Multiply 7.4 and 0.6560590289905072 to get 4.85483681452975328.

$$\frac{4.85483681452975328}{0.9455185755993167}$$

Expand \frac{4.85483681452975328}{0.9455185755993167} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{485483681452975328}{94551857559931670}$$

Reduce the fraction \frac{485483681452975328}{94551857559931670} to lowest terms by extracting and canceling out 2.

$$\frac{242741840726487664}{47275928779965835}$$

Factor

$$\frac{37 \cdot 249133 \cdot 1645855399 \cdot 2 ^ {4}}{5 \cdot 9455185755993167} = 5\frac{6362196826658480}{47275928779965840} = 5.134575818833084$$