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

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

Lahendage ja leidke c

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

Juhised lineaarvõrrandi lahendamiseks

Evaluate trigonometric functions in the problem

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

Arvutage 2 aste 0,8390996311772799 ja leidke 0,70408819104184715837886196294401.

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

Liitke 1 ja 0,70408819104184715837886196294401, et leida 1,70408819104184715837886196294401.

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

Arvutage 2 aste 4 ja leidke 16.

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

Liitke 16 ja 1, et leida 17.

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

Ratsionaliseerige korrutades lugeja ja \sqrt{17} nimetaja \frac{1,70408819104184715837886196294401}{\sqrt{17}} nimetaja.

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

\sqrt{17} ruut on 17.

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

Jagage 1,70408819104184715837886196294401\sqrt{17} väärtusega 17, et leida \frac{170408819104184715837886196294401}{1700000000000000000000000000000000}\sqrt{17}.

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

Määra c

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