Resolver c=1+tan(2pi/9)^2/sqrt{(4^2+1)}

$$c = \frac { 1 + \tan ( 2 \frac { \pi } { 9 } ) ^ { 2 } } { \sqrt { ( 4 ^ { 2 } + 1 ) } }$$

Resolva para c

$$c=\frac{170408819104184715837886196294401\sqrt{17}}{1700000000000000000000000000000000}\approx 0,413302095$$

Passos Para Resolver Uma Equação Linear

Evaluate trigonometric functions in the problem

$$c = \frac{1 + 0,8390996311772799 ^ {2}}{\sqrt{{(4 ^ {2} + 1)}}}$$

Calcule 0,8390996311772799 elevado a 2 e obtenha 0,70408819104184715837886196294401.

$$c=\frac{1+0,70408819104184715837886196294401}{\sqrt{4^{2}+1}}$$

Some 1 e 0,70408819104184715837886196294401 para obter 1,70408819104184715837886196294401.

$$c=\frac{1,70408819104184715837886196294401}{\sqrt{4^{2}+1}}$$

Calcule 4 elevado a 2 e obtenha 16.

$$c=\frac{1,70408819104184715837886196294401}{\sqrt{16+1}}$$

Some 16 e 1 para obter 17.

$$c=\frac{1,70408819104184715837886196294401}{\sqrt{17}}$$

Racionalize o denominador de \frac{1,70408819104184715837886196294401}{\sqrt{17}} ao multiplicar o numerador e o denominador por \sqrt{17}.

$$c=\frac{1,70408819104184715837886196294401\sqrt{17}}{\left(\sqrt{17}\right)^{2}}$$

O quadrado de \sqrt{17} é 17.

$$c=\frac{1,70408819104184715837886196294401\sqrt{17}}{17}$$

Dividir 1,70408819104184715837886196294401\sqrt{17} por 17 para obter \frac{170408819104184715837886196294401}{1700000000000000000000000000000000}\sqrt{17}.

$$c=\frac{170408819104184715837886196294401}{1700000000000000000000000000000000}\sqrt{17}$$

Atribuir c

$$c≔\frac{170408819104184715837886196294401\sqrt{17}}{1700000000000000000000000000000000}$$