Solve sin3+sqrt{3}-3/4=

$$\sin 3 + \sqrt { 3 } - \frac { 3 } { 4 } =$$

Evaluate

$$\sqrt{3}-0.69766404375705617\approx 1.034386764$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.05233595624294383 + \sqrt{3} - \frac{3}{4}$$

Convert decimal number 0.05233595624294383 to fraction \frac{5233595624294383}{10000000000}. Reduce the fraction \frac{5233595624294383}{10000000000} to lowest terms by extracting and canceling out 1.

$$\frac{5233595624294383}{100000000000000000}+\sqrt{3}-\frac{3}{4}$$

Least common multiple of 100000000000000000 and 4 is 100000000000000000. Convert \frac{5233595624294383}{100000000000000000} and \frac{3}{4} to fractions with denominator 100000000000000000.

$$\frac{5233595624294383}{100000000000000000}+\sqrt{3}-\frac{75000000000000000}{100000000000000000}$$

Since \frac{5233595624294383}{100000000000000000} and \frac{75000000000000000}{100000000000000000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5233595624294383-75000000000000000}{100000000000000000}+\sqrt{3}$$

Subtract 75000000000000000 from 5233595624294383 to get -69766404375705617.

$$-\frac{69766404375705617}{100000000000000000}+\sqrt{3}$$

Factor

$$\frac{100000000000000000 \sqrt{3} - 69766404375705617}{100000000000000000} = 1\frac{3438676381182096}{1 \times 10^{17}} = 1.034386763811821$$