Lahenda 2sin67/cos23+tan40/cot50+cos0

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

Arvuta

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

Lahenduse etapid

Evaluate trigonometric functions in the problem

$$\frac{2 \cdot 0,9205048534524403}{0,9205048534524404} + \frac{0,8390996311772799}{0,83909963117728} + \cos(0)$$

Korrutage 2 ja 0,9205048534524403, et leida 1,8410097069048806.

$$\frac{1,8410097069048806}{0,9205048534524404}+\frac{0,8390996311772799}{0,83909963117728}+\cos(0)$$

Saate \frac{1,8410097069048806}{0,9205048534524404} laiendada, korrutades nii lugeja kui ka nimetaja 10000000000000000.

$$\frac{18410097069048806}{9205048534524404}+\frac{0,8390996311772799}{0,83909963117728}+\cos(0)$$

Taandage murd \frac{18410097069048806}{9205048534524404} vähimale ühiskordsele, eraldades ja taandades arvu 2.

$$\frac{9205048534524403}{4602524267262202}+\frac{0,8390996311772799}{0,83909963117728}+\cos(0)$$

Saate \frac{0,8390996311772799}{0,83909963117728} laiendada, korrutades nii lugeja kui ka nimetaja 10000000000000000.

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

Liitke \frac{9205048534524403}{4602524267262202} ja \frac{8390996311772799}{8390996311772800}, et leida \frac{57929646227162912211455288040899}{19309882075720972902738525852800}.

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

Leidke \cos(0) väärtus trigonomeetriliste väärtuste tabelist.

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

Liitke \frac{57929646227162912211455288040899}{19309882075720972902738525852800} ja 1, et leida \frac{77239528302883885114193813893699}{19309882075720972902738525852800}.

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