Solve 5sin(69.1)1/sin(58.4)

$$5 \sin ( 69.1 ) \frac{ 1 }{ \sin ( 58.4 ) }$$

Evaluate

$$\frac{46710223716051475}{8517269341430476}\approx 5.484178302$$

Solution Steps

Evaluate trigonometric functions in the problem

$$5 \cdot 0.9342044743210295 \frac{1}{0.8517269341430476}$$

Multiply 5 and 0.9342044743210295 to get 4.6710223716051475.

$$4.6710223716051475\times \frac{1}{0.8517269341430476}$$

Expand \frac{1}{0.8517269341430476} by multiplying both numerator and the denominator by 10000000000000000.

$$4.6710223716051475\times \frac{10000000000000000}{8517269341430476}$$

Reduce the fraction \frac{10000000000000000}{8517269341430476} to lowest terms by extracting and canceling out 4.

$$4.6710223716051475\times \frac{2500000000000000}{2129317335357619}$$

Convert decimal number 4.6710223716051475 to fraction \frac{1868408948642059}{10000000000}. Reduce the fraction \frac{1868408948642059}{10000000000} to lowest terms by extracting and canceling out 1.

$$\frac{1868408948642059}{400000000000000}\times \frac{2500000000000000}{2129317335357619}$$

Multiply \frac{1868408948642059}{400000000000000} times \frac{2500000000000000}{2129317335357619} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1868408948642059\times 2500000000000000}{400000000000000\times 2129317335357619}$$

Do the multiplications in the fraction \frac{1868408948642059\times 2500000000000000}{400000000000000\times 2129317335357619}.

$$\frac{4671022371605147500000000000000}{851726934143047600000000000000}$$

Reduce the fraction \frac{4671022371605147500000000000000}{851726934143047600000000000000} to lowest terms by extracting and canceling out 100000000000000.

$$\frac{46710223716051475}{8517269341430476}$$

Factor

$$\frac{73 \cdot 607921 \cdot 42101923 \cdot 5 ^ {2}}{11 \cdot 4463 \cdot 43373135383 \cdot 2 ^ {2}} = 5\frac{4123877008899092}{8517269341430476} = 5.484178302174778$$