Lutasin ang 2sin67/cos23+tan40/cot50+cos0

$$\frac { 2 \sin 67 } { \cos 23 } + \frac { \tan 40 } { \cot 50 } + \cos 0$$

I-evaluate

$$\frac{77239528302883885114193813893699}{19309882075720972902738525852800}\approx 4$$

Mga Hakbang ng Solution

Evaluate trigonometric functions in the problem

$$\frac{2 \cdot 0.9205048534524403}{0.9205048534524404} + \frac{0.8390996311772799}{0.83909963117728} + \cos(0)$$

I-multiply ang 2 at 0.9205048534524403 para makuha ang 1.8410097069048806.

$$\frac{1.8410097069048806}{0.9205048534524404}+\frac{0.8390996311772799}{0.83909963117728}+\cos(0)$$

I-expand ang \frac{1.8410097069048806}{0.9205048534524404} sa pamamagitan ng pag-multiply sa parehong numerator at denominator ng 10000000000000000.

$$\frac{18410097069048806}{9205048534524404}+\frac{0.8390996311772799}{0.83909963117728}+\cos(0)$$

Bawasan ang fraction \frac{18410097069048806}{9205048534524404} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 2.

$$\frac{9205048534524403}{4602524267262202}+\frac{0.8390996311772799}{0.83909963117728}+\cos(0)$$

I-expand ang \frac{0.8390996311772799}{0.83909963117728} sa pamamagitan ng pag-multiply sa parehong numerator at denominator ng 10000000000000000.

$$\frac{9205048534524403}{4602524267262202}+\frac{8390996311772799}{8390996311772800}+\cos(0)$$

Idagdag ang \frac{9205048534524403}{4602524267262202} at \frac{8390996311772799}{8390996311772800} para makuha ang \frac{57929646227162912211455288040899}{19309882075720972902738525852800}.

$$\frac{57929646227162912211455288040899}{19309882075720972902738525852800}+\cos(0)$$

Kunin ang halaga ng \cos(0) mula sa talahanayan ng trigonometric values.

$$\frac{57929646227162912211455288040899}{19309882075720972902738525852800}+1$$

Idagdag ang \frac{57929646227162912211455288040899}{19309882075720972902738525852800} at 1 para makuha ang \frac{77239528302883885114193813893699}{19309882075720972902738525852800}.

$$\frac{77239528302883885114193813893699}{19309882075720972902738525852800}$$