Riješi c=1+tan(2pi/9)^2/sqrt{(4^2+1)}

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

Riješite za c

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

Koraci za rješavanje linearne jednačine

Evaluate trigonometric functions in the problem

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

Izračunajte 0,8390996311772799 stepen od 2 i dobijte 0,70408819104184715837886196294401.

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

Saberite 1 i 0,70408819104184715837886196294401 da biste dobili 1,70408819104184715837886196294401.

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

Izračunajte 4 stepen od 2 i dobijte 16.

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

Saberite 16 i 1 da biste dobili 17.

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

Racionalizirajte imenilac broja \frac{1,70408819104184715837886196294401}{\sqrt{17}} tako što ćete pomnožiti brojilac i imenilac sa \sqrt{17}.

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

Kvadrat broja \sqrt{17} je 17.

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

Podijelite 1,70408819104184715837886196294401\sqrt{17} sa 17 da biste dobili \frac{170408819104184715837886196294401}{1700000000000000000000000000000000}\sqrt{17}.

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

Dodijeli c

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