Lutasin ang sin(49)*8.7/sin(64)

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

I-evaluate

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

Mga Hakbang ng Solution

Evaluate trigonometric functions in the problem

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

I-expand ang \frac{8.7}{0.898794046299167} sa pamamagitan ng pag-multiply sa parehong numerator at denominator ng 1000000000000000.

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

I-convert ang decimal number na 0.754709580222772 sa fraction na \frac{188677395055693}{10000000000}. Bawasan ang fraction \frac{188677395055693}{10000000000} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 1.

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

I-multiply ang \frac{188677395055693}{250000000000000} sa \frac{8700000000000000}{898794046299167} sa pamamagitan ng pag-multiply ng numerator sa numerator at denominator sa denominator.

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

Gawin ang mga multiplication sa fraction na \frac{188677395055693\times 8700000000000000}{250000000000000\times 898794046299167}.

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

Bawasan ang fraction \frac{1641493336984529100000000000000}{224698511574791750000000000000} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 50000000000000.

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

I-factor

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