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

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

Resolver C

$$C=\frac{170408819104184715837886196294401\sqrt{17}}{1700000000000000000000000000000000}\approx 0.413302095$$

Pasos para resolver unha ecuación lineal

Evaluate trigonometric functions in the problem

$$C = \frac{1 + 0.8390996311772799 ^ {2}}{\sqrt{{(4 ^ {2} + 1)}}}$$

Calcula 0.8390996311772799 á potencia de 2 e obtén 0.70408819104184715837886196294401.

$$C=\frac{1+0.70408819104184715837886196294401}{\sqrt{4^{2}+1}}$$

Suma 1 e 0.70408819104184715837886196294401 para obter 1.70408819104184715837886196294401.

$$C=\frac{1.70408819104184715837886196294401}{\sqrt{4^{2}+1}}$$

Calcula 4 á potencia de 2 e obtén 16.

$$C=\frac{1.70408819104184715837886196294401}{\sqrt{16+1}}$$

Suma 16 e 1 para obter 17.

$$C=\frac{1.70408819104184715837886196294401}{\sqrt{17}}$$

Racionaliza o denominador de \frac{1.70408819104184715837886196294401}{\sqrt{17}} mediante a multiplicación do numerador e o denominador por \sqrt{17}.

$$C=\frac{1.70408819104184715837886196294401\sqrt{17}}{\left(\sqrt{17}\right)^{2}}$$

O cadrado de \sqrt{17} é 17.

$$C=\frac{1.70408819104184715837886196294401\sqrt{17}}{17}$$

Divide 1.70408819104184715837886196294401\sqrt{17} entre 17 para obter \frac{170408819104184715837886196294401}{1700000000000000000000000000000000}\sqrt{17}.

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

Atribuír C

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