Resolver 355-978*sin20/978*cos20

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

Calcular

$$\frac{102521499137480057}{4595096915643092076}\approx 0.022311064$$

Pasos da solución

Evaluate trigonometric functions in the problem

$$\frac{355 - 978 \cdot 0.3420201433256687}{978 \cdot 0.9396926207859084}$$

Multiplica 978 e 0.3420201433256687 para obter 334.4957001725039886.

$$\frac{355-334.4957001725039886}{978\times 0.9396926207859084}$$

Resta 334.4957001725039886 de 355 para obter 20.5042998274960114.

$$\frac{20.5042998274960114}{978\times 0.9396926207859084}$$

Multiplica 978 e 0.9396926207859084 para obter 919.0193831286184152.

$$\frac{20.5042998274960114}{919.0193831286184152}$$

Expande \frac{20.5042998274960114}{919.0193831286184152} multiplicando o numerador e o denominador por 10000000000000000.

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

Reduce a fracción \frac{205042998274960114}{9190193831286184152} a termos máis baixos extraendo e cancelando 2.

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

Factorizar

$$\frac{102521499137480057}{163 \cdot 587 \cdot 1334032681411 \cdot 2 ^ {2} \cdot 3 ^ {2}} = 0.022311063513908932$$