Resolver 1.2/4left(1-sin(4.71)/4.71right)

$$\frac{ 1.2 }{ 4 } \left( 1- \frac{ \sin ( 4.71 ) }{ 4.71 } \right)$$

Calcular

$$\frac{231394377329017629}{785000000000000000}\approx 0.294769907$$

Pasos da solución

Evaluate trigonometric functions in the problem

$$\frac{1.2}{4} {(1 - \frac{0.08211245341964742}{4.71})}$$

Expande \frac{1.2}{4} multiplicando o numerador e o denominador por 10.

$$\frac{12}{40}\left(1-\frac{0.08211245341964742}{4.71}\right)$$

Reduce a fracción \frac{12}{40} a termos máis baixos extraendo e cancelando 4.

$$\frac{3}{10}\left(1-\frac{0.08211245341964742}{4.71}\right)$$

Expande \frac{0.08211245341964742}{4.71} multiplicando o numerador e o denominador por 100000000000000000.

$$\frac{3}{10}\left(1-\frac{8211245341964742}{471000000000000000}\right)$$

Reduce a fracción \frac{8211245341964742}{471000000000000000} a termos máis baixos extraendo e cancelando 6.

$$\frac{3}{10}\left(1-\frac{1368540890327457}{78500000000000000}\right)$$

Converter 1 á fracción \frac{78500000000000000}{78500000000000000}.

$$\frac{3}{10}\left(\frac{78500000000000000}{78500000000000000}-\frac{1368540890327457}{78500000000000000}\right)$$

Dado que \frac{78500000000000000}{78500000000000000} e \frac{1368540890327457}{78500000000000000} teñen o mesmo denominador, réstaos mediante a resta dos seus numeradores.

$$\frac{3}{10}\times \frac{78500000000000000-1368540890327457}{78500000000000000}$$

Resta 1368540890327457 de 78500000000000000 para obter 77131459109672543.

$$\frac{3}{10}\times \frac{77131459109672543}{78500000000000000}$$

Multiplica \frac{3}{10} por \frac{77131459109672543}{78500000000000000} mediante a multiplicación do numerador polo numerador e do denominador polo denominador.

$$\frac{3\times 77131459109672543}{10\times 78500000000000000}$$

Fai as multiplicacións na fracción \frac{3\times 77131459109672543}{10\times 78500000000000000}.

$$\frac{231394377329017629}{785000000000000000}$$

Factorizar

$$\frac{3 \cdot 127 \cdot 607334323698209}{157 \cdot 2 ^ {15} \cdot 5 ^ {16}} = 0.2947699074255002$$