Lahenda 12/4left(1-sin(471)/471right)

$$\frac{ 12 }{ 4 } \left( 1- \frac{ \sin ( 471 ) }{ 471 } \right)$$

Arvuta

$$\frac{4700664195735027983}{1570000000000000000}\approx 2,994053628$$

Lahenduse etapid

Evaluate trigonometric functions in the problem

$$\frac{12}{4} {(1 - \frac{0,9335804264972017}{471})}$$

Jagage 12 väärtusega 4, et leida 3.

$$3\left(1-\frac{0,9335804264972017}{471}\right)$$

Saate \frac{0,9335804264972017}{471} laiendada, korrutades nii lugeja kui ka nimetaja 10000000000000000.

$$3\left(1-\frac{9335804264972017}{4710000000000000000}\right)$$

Teisendage 1 murdarvuks \frac{4710000000000000000}{4710000000000000000}.

$$3\left(\frac{4710000000000000000}{4710000000000000000}-\frac{9335804264972017}{4710000000000000000}\right)$$

Kuna murdudel \frac{4710000000000000000}{4710000000000000000} ja \frac{9335804264972017}{4710000000000000000} on sama nimetaja, lahutage nende lugejad.

$$3\times \frac{4710000000000000000-9335804264972017}{4710000000000000000}$$

Lahutage 9335804264972017 väärtusest 4710000000000000000, et leida 4700664195735027983.

$$3\times \frac{4700664195735027983}{4710000000000000000}$$

Avaldage 3\times \frac{4700664195735027983}{4710000000000000000} ühe murdarvuna.

$$\frac{3\times 4700664195735027983}{4710000000000000000}$$

Korrutage 3 ja 4700664195735027983, et leida 14101992587205083949.

$$\frac{14101992587205083949}{4710000000000000000}$$

Taandage murd \frac{14101992587205083949}{4710000000000000000} vähimale ühiskordsele, eraldades ja taandades arvu 3.

$$\frac{4700664195735027983}{1570000000000000000}$$

Lahuta teguriteks

$$\frac{23 \cdot 701 \cdot 291550219917821}{157 \cdot 2 ^ {16} \cdot 5 ^ {16}} = 2\frac{1,5606641957350278 \times 10^{18}}{1,57 \times 10^{18}} = 2,9940536278567054$$