Lahenda sin(49)*87/sin(64)

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

Arvuta

$$\frac{65659733479381164}{898794046299167}\approx 73,05314688$$

Lahenduse etapid

Evaluate trigonometric functions in the problem

$$0,754709580222772 \cdot \frac{87}{0,898794046299167}$$

Saate \frac{87}{0,898794046299167} laiendada, korrutades nii lugeja kui ka nimetaja 1000000000000000.

$$0,754709580222772\times \frac{87000000000000000}{898794046299167}$$

Teisendage kümnendarv 0,754709580222772 murdarvuks \frac{188677395055693}{10000000000}. Taandage murd \frac{188677395055693}{10000000000} vähimale ühiskordsele, eraldades ja taandades arvu 1.

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

Korrutage omavahel \frac{188677395055693}{250000000000000} ja \frac{87000000000000000}{898794046299167}. Seejärel taandage murd võimaluse korral vähimale ühiskordsele.

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

Tehke korrutustehted murruga \frac{188677395055693\times 87000000000000000}{250000000000000\times 898794046299167}.

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

Taandage murd \frac{16414933369845291000000000000000}{224698511574791750000000000000} vähimale ühiskordsele, eraldades ja taandades arvu 250000000000000.

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

Lahuta teguriteks

$$\frac{3 \cdot 29 \cdot 4691 \cdot 19079 \cdot 2108137 \cdot 2 ^ {2}}{829 \cdot 4447 \cdot 243802709} = 73\frac{47768099541977}{898794046299167} = 73,05314688024322$$