Lutasin ang 355-978*sin20/978*cos20

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

I-evaluate

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

Mga Hakbang ng Solution

Evaluate trigonometric functions in the problem

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

I-multiply ang 978 at 0.3420201433256687 para makuha ang 334.4957001725039886.

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

I-subtract ang 334.4957001725039886 mula sa 355 para makuha ang 20.5042998274960114.

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

I-multiply ang 978 at 0.9396926207859084 para makuha ang 919.0193831286184152.

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

I-expand ang \frac{20.5042998274960114}{919.0193831286184152} sa pamamagitan ng pag-multiply sa parehong numerator at denominator ng 10000000000000000.

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

Bawasan ang fraction \frac{205042998274960114}{9190193831286184152} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 2.

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

I-factor

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