Solve sin(49)*8.7/sin(64)

$$\sin ( 49 ) \times \frac{ 8.7 }{ \sin ( 64 ) }$$

Evaluate

$$\frac{32829866739690582}{4493970231495835}\approx 7.305314688$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.754709580222772 \cdot \frac{8.7}{0.898794046299167}$$

Expand \frac{8.7}{0.898794046299167} by multiplying both numerator and the denominator by 1000000000000000.

$$0.754709580222772\times \frac{8700000000000000}{898794046299167}$$

Convert decimal number 0.754709580222772 to fraction \frac{188677395055693}{10000000000}. Reduce the fraction \frac{188677395055693}{10000000000} to lowest terms by extracting and canceling out 1.

$$\frac{188677395055693}{250000000000000}\times \frac{8700000000000000}{898794046299167}$$

Multiply \frac{188677395055693}{250000000000000} times \frac{8700000000000000}{898794046299167} by multiplying numerator times numerator and denominator times denominator.

$$\frac{188677395055693\times 8700000000000000}{250000000000000\times 898794046299167}$$

Do the multiplications in the fraction \frac{188677395055693\times 8700000000000000}{250000000000000\times 898794046299167}.

$$\frac{1641493336984529100000000000000}{224698511574791750000000000000}$$

Reduce the fraction \frac{1641493336984529100000000000000}{224698511574791750000000000000} to lowest terms by extracting and canceling out 50000000000000.

$$\frac{32829866739690582}{4493970231495835}$$

Factor

$$\frac{2 \cdot 3 \cdot 29 \cdot 4691 \cdot 19079 \cdot 2108137}{5 \cdot 829 \cdot 4447 \cdot 243802709} = 7\frac{1372075119219739}{4493970231495835} = 7.305314688024321$$