Solve 267-978*sin15/978*cos15=

$$\frac { 267 - 978 \cdot \sin 15 } { 978 \cdot \cos 15 } =$$

Evaluate

$$\frac{115624782414455969}{7872295484255906645}\approx 0.014687556$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{267 - 978 \cdot 0.25881904510252074}{978 \cdot 0.9659258262890683}$$

Multiply 978 and 0.25881904510252074 to get 253.12502611026528372.

$$\frac{267-253.12502611026528372}{978\times 0.9659258262890683}$$

Subtract 253.12502611026528372 from 267 to get 13.87497388973471628.

$$\frac{13.87497388973471628}{978\times 0.9659258262890683}$$

Multiply 978 and 0.9659258262890683 to get 944.6754581107087974.

$$\frac{13.87497388973471628}{944.6754581107087974}$$

Expand \frac{13.87497388973471628}{944.6754581107087974} by multiplying both numerator and the denominator by 100000000000000000.

$$\frac{1387497388973471628}{94467545811070879740}$$

Reduce the fraction \frac{1387497388973471628}{94467545811070879740} to lowest terms by extracting and canceling out 12.

$$\frac{115624782414455969}{7872295484255906645}$$

Factor

$$\frac{18942883 \cdot 6103864043}{5 \cdot 43 \cdot 163 \cdot 3656111 \cdot 61440671} = 0.014687556208439867$$