Leysa -46divtan(42^circ)-tan(46^circ)

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

Meta

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

Lausnarskref

Evaluate trigonometric functions in the problem

$$-46 / 0.9004040442978399 - 1.0355303137905694$$

Leystu upp \frac{-46}{0.9004040442978399} með því að margfalda bæði teljara og nefnara með 10000000000000000.

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

Endurskrifa má brotið \frac{-460000000000000000}{9004040442978399} sem -\frac{460000000000000000}{9004040442978399} með því að taka mínusmerkið.

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

Breyta tugabrotinu 1.0355303137905694 í brot \frac{5177651568952847}{10000000000}. Minnka brotið \frac{5177651568952847}{10000000000} eins mikið og hægt er með því að draga og stytta út 1.

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

Sjaldgæfasta margfeldi 9004040442978399 og 5000000000000000 er 45020202214891995000000000000000. Breyttu -\frac{460000000000000000}{9004040442978399} og \frac{5177651568952847}{5000000000000000} í brot með nefnaranum 45020202214891995000000000000000.

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

Þar sem -\frac{2300000000000000000000000000000000}{45020202214891995000000000000000} og \frac{46619784126501995096450270551953}{45020202214891995000000000000000} eru með sama nefnara skaltu draga frá með því að nota frádrátt á teljarana.

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

Dragðu 46619784126501995096450270551953 frá -2300000000000000000000000000000000 til að fá út -2346619784126501995096450270551953.

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