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

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

Solve for C

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

Steps for Solving Linear Equation

Evaluate trigonometric functions in the problem

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

Calculate 0.8390996311772799 to the power of 2 and get 0.70408819104184715837886196294401.

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

Add 1 and 0.70408819104184715837886196294401 to get 1.70408819104184715837886196294401.

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

Calculate 4 to the power of 2 and get 16.

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

Add 16 and 1 to get 17.

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

Rationalize the denominator of \frac{1.70408819104184715837886196294401}{\sqrt{17}} by multiplying numerator and denominator by \sqrt{17}.

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

The square of \sqrt{17} is 17.

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

Divide 1.70408819104184715837886196294401\sqrt{17} by 17 to get \frac{170408819104184715837886196294401}{1700000000000000000000000000000000}\sqrt{17}.

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

Assign C

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