Lutasin ang sin(49)*87/sin(64)

$$\sin ( 49 ) \times \frac{ 87 }{ \sin ( 64 ) }$$

I-evaluate

$$\frac{65659733479381164}{898794046299167}\approx 73.05314688$$

Mga Hakbang ng Solution

Evaluate trigonometric functions in the problem

$$0.754709580222772 \cdot \frac{87}{0.898794046299167}$$

I-expand ang \frac{87}{0.898794046299167} sa pamamagitan ng pag-multiply sa parehong numerator at denominator ng 1000000000000000.

$$0.754709580222772\times \frac{87000000000000000}{898794046299167}$$

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.

$$\frac{188677395055693}{250000000000000}\times \frac{87000000000000000}{898794046299167}$$

I-multiply ang \frac{188677395055693}{250000000000000} sa \frac{87000000000000000}{898794046299167} sa pamamagitan ng pag-multiply ng numerator sa numerator at denominator sa denominator.

$$\frac{188677395055693\times 87000000000000000}{250000000000000\times 898794046299167}$$

Gawin ang mga multiplication sa fraction na \frac{188677395055693\times 87000000000000000}{250000000000000\times 898794046299167}.

$$\frac{16414933369845291000000000000000}{224698511574791750000000000000}$$

Bawasan ang fraction \frac{16414933369845291000000000000000}{224698511574791750000000000000} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 250000000000000.

$$\frac{65659733479381164}{898794046299167}$$

I-factor

$$\frac{3 \cdot 29 \cdot 4691 \cdot 19079 \cdot 2108137 \cdot 2 ^ {2}}{829 \cdot 4447 \cdot 243802709} = 73\frac{47768099541977}{898794046299167} = 73.05314688024322$$