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

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

Avaliar

$$-\frac{2346619784126501995096450270551953}{45020202214891995000000000000000}\approx -52,123705996$$

Passos Para a Resolução

Evaluate trigonometric functions in the problem

$$-46 / 0,9004040442978399 - 1,0355303137905694$$

Expanda \frac{-46}{0,9004040442978399} ao multiplicar o numerador e o denominador por 10000000000000000.

$$\frac{-460000000000000000}{9004040442978399}-1,0355303137905694$$

A fração \frac{-460000000000000000}{9004040442978399} pode ser reescrita como -\frac{460000000000000000}{9004040442978399} ao remover o sinal negativo.

$$-\frac{460000000000000000}{9004040442978399}-1,0355303137905694$$

Converta o número decimal 1,0355303137905694 na fração \frac{5177651568952847}{10000000000}. Reduza a fração \frac{5177651568952847}{10000000000} para os termos mais baixos ao retirar e anular 1.

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

O mínimo múltiplo comum de 9004040442978399 e 5000000000000000 é 45020202214891995000000000000000. Converta -\frac{460000000000000000}{9004040442978399} e \frac{5177651568952847}{5000000000000000} em frações com o denominador 45020202214891995000000000000000.

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

Uma vez que -\frac{2300000000000000000000000000000000}{45020202214891995000000000000000} e \frac{46619784126501995096450270551953}{45020202214891995000000000000000} têm o mesmo denominador, subtraia-os ao subtrair os respetivos numeradores.

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

Subtraia 46619784126501995096450270551953 de -2300000000000000000000000000000000 para obter -2346619784126501995096450270551953.

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