Solve sin(21.5)*1.67*10^-6+sin(48.3)*1.67*10^-6div2

$$\sin ( 21.5 ) \times 1.67 \times { 10 }^{ -6 } + \sin ( 48.3 ) \times 1.67 \times { 10 }^{ -6 } \div 2$$

Evaluate

$$0.0000012354999308378782265$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.36650122672429725 \cdot 1.67 \cdot {(10)} ^ {-6} + 0.7466381822853914 \cdot 1.67 \cdot {(10)} ^ {-6} / 2$$

Multiply 0.36650122672429725 and 1.67 to get 0.6120570486295764075.

$$0.6120570486295764075\times 10^{-6}+\frac{0.7466381822853914\times 1.67\times 10^{-6}}{2}$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$0.6120570486295764075\times \frac{1}{1000000}+\frac{0.7466381822853914\times 1.67\times 10^{-6}}{2}$$

Multiply 0.6120570486295764075 and \frac{1}{1000000} to get \frac{244822819451830563}{400000000000000000000000}.

$$\frac{244822819451830563}{400000000000000000000000}+\frac{0.7466381822853914\times 1.67\times 10^{-6}}{2}$$

Multiply 0.7466381822853914 and 1.67 to get 1.246885764416603638.

$$\frac{244822819451830563}{400000000000000000000000}+\frac{1.246885764416603638\times 10^{-6}}{2}$$

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$\frac{244822819451830563}{400000000000000000000000}+\frac{1.246885764416603638\times \frac{1}{1000000}}{2}$$

Multiply 1.246885764416603638 and \frac{1}{1000000} to get \frac{623442882208301819}{500000000000000000000000}.

$$\frac{244822819451830563}{400000000000000000000000}+\frac{\frac{623442882208301819}{500000000000000000000000}}{2}$$

Express \frac{\frac{623442882208301819}{500000000000000000000000}}{2} as a single fraction.

$$\frac{244822819451830563}{400000000000000000000000}+\frac{623442882208301819}{500000000000000000000000\times 2}$$

Multiply 500000000000000000000000 and 2 to get 1000000000000000000000000.

$$\frac{244822819451830563}{400000000000000000000000}+\frac{623442882208301819}{1000000000000000000000000}$$

Add \frac{244822819451830563}{400000000000000000000000} and \frac{623442882208301819}{1000000000000000000000000} to get \frac{2470999861675756453}{2000000000000000000000000}.

$$\frac{2470999861675756453}{2000000000000000000000000}$$

Factor

$$\frac{7 \cdot 167 \cdot 10776679 \cdot 196143203}{2 ^ {25} \cdot 5 ^ {24}} = 1.2354999308378782 \times 10^{-6}$$