Resolver 355-978*sin20/978*cos20

$$\frac { 355 - 978 \cdot \sin 20 } { 978 \cdot \cos 20 }$$

Avaliar

$$\frac{102521499137480057}{4595096915643092076}\approx 0,022311064$$

Passos Para a Resolução

Evaluate trigonometric functions in the problem

$$\frac{355 - 978 \cdot 0,3420201433256687}{978 \cdot 0,9396926207859084}$$

Multiplique 978 e 0,3420201433256687 para obter 334,4957001725039886.

$$\frac{355-334,4957001725039886}{978\times 0,9396926207859084}$$

Subtraia 334,4957001725039886 de 355 para obter 20,5042998274960114.

$$\frac{20,5042998274960114}{978\times 0,9396926207859084}$$

Multiplique 978 e 0,9396926207859084 para obter 919,0193831286184152.

$$\frac{20,5042998274960114}{919,0193831286184152}$$

Expanda \frac{20,5042998274960114}{919,0193831286184152} ao multiplicar o numerador e o denominador por 10000000000000000.

$$\frac{205042998274960114}{9190193831286184152}$$

Reduza a fração \frac{205042998274960114}{9190193831286184152} para os termos mais baixos ao retirar e anular 2.

$$\frac{102521499137480057}{4595096915643092076}$$

Fatorizar

$$\frac{102521499137480057}{163 \cdot 587 \cdot 1334032681411 \cdot 2 ^ {2} \cdot 3 ^ {2}} = 0,022311063513908932$$