Resolver 2sin67/cos23+tan40/cot50+cos0

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

Avaliar

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

Passos Para a Resolução

Evaluate trigonometric functions in the problem

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

Multiplique 2 e 0,9205048534524403 para obter 1,8410097069048806.

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

Expanda \frac{1,8410097069048806}{0,9205048534524404} ao multiplicar o numerador e o denominador por 10000000000000000.

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

Reduza a fração \frac{18410097069048806}{9205048534524404} para os termos mais baixos ao retirar e anular 2.

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

Expanda \frac{0,8390996311772799}{0,83909963117728} ao multiplicar o numerador e o denominador por 10000000000000000.

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

Some \frac{9205048534524403}{4602524267262202} e \frac{8390996311772799}{8390996311772800} para obter \frac{57929646227162912211455288040899}{19309882075720972902738525852800}.

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

Obtenha o valor de \cos(0) a partir da tabela de valores trigonométricos.

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

Some \frac{57929646227162912211455288040899}{19309882075720972902738525852800} e 1 para obter \frac{77239528302883885114193813893699}{19309882075720972902738525852800}.

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