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

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

I-solve ang C

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

Mga Hakbang sa Pagso-solve ng Linear Equation

Evaluate trigonometric functions in the problem

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

Kalkulahin ang 0.8390996311772799 sa power ng 2 at kunin ang 0.70408819104184715837886196294401.

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

Idagdag ang 1 at 0.70408819104184715837886196294401 para makuha ang 1.70408819104184715837886196294401.

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

Kalkulahin ang 4 sa power ng 2 at kunin ang 16.

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

Idagdag ang 16 at 1 para makuha ang 17.

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

I-rationalize ang denominator ng \frac{1.70408819104184715837886196294401}{\sqrt{17}} sa pamamagitan ng pag-multiply ng numerator at denominator sa \sqrt{17}.

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

Ang square ng \sqrt{17} ay 17.

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

I-divide ang 1.70408819104184715837886196294401\sqrt{17} gamit ang 17 para makuha ang \frac{170408819104184715837886196294401}{1700000000000000000000000000000000}\sqrt{17}.

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

Italaga ang C

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