Solve left(4.5/2+0.35right)sec(35)=

$$\left( \frac{ 4.5 }{ 2 } +0.35 \right) \sec ( 35 ) =$$

Evaluate

$$3.1740139307797856$$

Solution Steps

Evaluate trigonometric functions in the problem

$${(\frac{4.5}{2} + 0.35)} 1.220774588761456$$

Expand \frac{4.5}{2} by multiplying both numerator and the denominator by 10.

$$\left(\frac{45}{20}+0.35\right)\times 1.220774588761456$$

Reduce the fraction \frac{45}{20} to lowest terms by extracting and canceling out 5.

$$\left(\frac{9}{4}+0.35\right)\times 1.220774588761456$$

Convert decimal number 0.35 to fraction \frac{35}{100}. Reduce the fraction \frac{35}{100} to lowest terms by extracting and canceling out 5.

$$\left(\frac{9}{4}+\frac{7}{20}\right)\times 1.220774588761456$$

Least common multiple of 4 and 20 is 20. Convert \frac{9}{4} and \frac{7}{20} to fractions with denominator 20.

$$\left(\frac{45}{20}+\frac{7}{20}\right)\times 1.220774588761456$$

Since \frac{45}{20} and \frac{7}{20} have the same denominator, add them by adding their numerators.

$$\frac{45+7}{20}\times 1.220774588761456$$

Add 45 and 7 to get 52.

$$\frac{52}{20}\times 1.220774588761456$$

Reduce the fraction \frac{52}{20} to lowest terms by extracting and canceling out 4.

$$\frac{13}{5}\times 1.220774588761456$$

Convert decimal number 1.220774588761456 to fraction \frac{76298411797591}{10000000000}. Reduce the fraction \frac{76298411797591}{10000000000} to lowest terms by extracting and canceling out 1.

$$\frac{13}{5}\times \frac{76298411797591}{62500000000000}$$

Multiply \frac{13}{5} times \frac{76298411797591}{62500000000000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{13\times 76298411797591}{5\times 62500000000000}$$

Do the multiplications in the fraction \frac{13\times 76298411797591}{5\times 62500000000000}.

$$\frac{991879353368683}{312500000000000}$$

Factor

$$\frac{13 \cdot 173 \cdot 441031282067}{2 ^ {11} \cdot 5 ^ {16}} = 3\frac{54379353368683}{312500000000000} = 3.1740139307797857$$