Lutasin ang -46divtan(42^circ)-tan(46^circ)

$$-46 \div \tan ( 42 ^ { \circ } ) - \tan ( 46 ^ { \circ } )$$

I-evaluate

$$-\frac{2346619784126501995096450270551953}{45020202214891995000000000000000}\approx -52.123705996$$

Mga Hakbang ng Solution

Evaluate trigonometric functions in the problem

$$-46 / 0.9004040442978399 - 1.0355303137905694$$

I-expand ang \frac{-46}{0.9004040442978399} sa pamamagitan ng pag-multiply sa parehong numerator at denominator ng 10000000000000000.

$$\frac{-460000000000000000}{9004040442978399}-1.0355303137905694$$

Maaaring maisulat muli ang fraction na \frac{-460000000000000000}{9004040442978399} bilang -\frac{460000000000000000}{9004040442978399} sa pamamagitan ng pag-extract sa negative sign.

$$-\frac{460000000000000000}{9004040442978399}-1.0355303137905694$$

I-convert ang decimal number na 1.0355303137905694 sa fraction na \frac{5177651568952847}{10000000000}. Bawasan ang fraction \frac{5177651568952847}{10000000000} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 1.

$$-\frac{460000000000000000}{9004040442978399}-\frac{5177651568952847}{5000000000000000}$$

Ang least common multiple ng 9004040442978399 at 5000000000000000 ay 45020202214891995000000000000000. I-convert ang -\frac{460000000000000000}{9004040442978399} at \frac{5177651568952847}{5000000000000000} sa mga fraction na may denominator na 45020202214891995000000000000000.

$$-\frac{2300000000000000000000000000000000}{45020202214891995000000000000000}-\frac{46619784126501995096450270551953}{45020202214891995000000000000000}$$

Dahil may parehong denominator ang -\frac{2300000000000000000000000000000000}{45020202214891995000000000000000} at \frac{46619784126501995096450270551953}{45020202214891995000000000000000}, ibawas ang mga ito sa pamamagitan ng pagbawas sa mga numerator ng mga ito.

$$\frac{-2300000000000000000000000000000000-46619784126501995096450270551953}{45020202214891995000000000000000}$$

I-subtract ang 46619784126501995096450270551953 mula sa -2300000000000000000000000000000000 para makuha ang -2346619784126501995096450270551953.

$$-\frac{2346619784126501995096450270551953}{45020202214891995000000000000000}$$