Solve sin[(2/5)(6/7)]div(2/3)?

$$\sin [ ( \frac { 2 } { 5 } ) ( \frac { 6 } { 7 } ) ] \div ( \frac { 2 } { 3 } ) ?$$

Evaluate

$$0.00897592544157728775$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.0059839502943848585 / {(\frac{2}{3})}$$

Divide 0.0059839502943848585 by \frac{2}{3} by multiplying 0.0059839502943848585 by the reciprocal of \frac{2}{3}.

$$0.0059839502943848585\times \frac{3}{2}$$

Convert decimal number 0.0059839502943848585 to fraction \frac{11967900588769717}{10000000000}. Reduce the fraction \frac{11967900588769717}{10000000000} to lowest terms by extracting and canceling out 1.

$$\frac{11967900588769717}{2000000000000000000}\times \frac{3}{2}$$

Multiply \frac{11967900588769717}{2000000000000000000} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11967900588769717\times 3}{2000000000000000000\times 2}$$

Do the multiplications in the fraction \frac{11967900588769717\times 3}{2000000000000000000\times 2}.

$$\frac{35903701766309151}{4000000000000000000}$$

Factor

$$\frac{3 \cdot 41 \cdot 2801299 \cdot 104201663}{2 ^ {20} \cdot 5 ^ {18}} = 0.008975925441577288$$