Solve 3/4=sin(1,2)(0,1)+θ_{0})

$$\frac { 3 } { 4 } = \sin ( 1,2 ) ( 0,1 ) + \theta _ { 0 } )$$

Solve for θ_0

$$\theta _{0}=0.7479057580116643043$$

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

$$\frac{3}{4} = 0.020942419883356957 {(0.1)} + \theta_{0}$$

Multiply 0.020942419883356957 and 0.1 to get 0.0020942419883356957.

$$\frac{3}{4}=0.0020942419883356957+\theta _{0}$$

Swap sides so that all variable terms are on the left hand side.

$$0.0020942419883356957+\theta _{0}=\frac{3}{4}$$

Subtract 0.0020942419883356957 from both sides.

$$\theta _{0}=\frac{3}{4}-0.0020942419883356957$$

Convert decimal number 0.0020942419883356957 to fraction \frac{20942419883356957}{10000000000}. Reduce the fraction \frac{20942419883356957}{10000000000} to lowest terms by extracting and canceling out 1.

$$\theta _{0}=\frac{3}{4}-\frac{20942419883356957}{10000000000000000000}$$

Least common multiple of 4 and 10000000000000000000 is 10000000000000000000. Convert \frac{3}{4} and \frac{20942419883356957}{10000000000000000000} to fractions with denominator 10000000000000000000.

$$\theta _{0}=\frac{7500000000000000000}{10000000000000000000}-\frac{20942419883356957}{10000000000000000000}$$

Since \frac{7500000000000000000}{10000000000000000000} and \frac{20942419883356957}{10000000000000000000} have the same denominator, subtract them by subtracting their numerators.

$$\theta _{0}=\frac{7500000000000000000-20942419883356957}{10000000000000000000}$$

Subtract 20942419883356957 from 7500000000000000000 to get 7479057580116643043.

$$\theta _{0}=\frac{7479057580116643043}{10000000000000000000}$$