Riješi c=1+tan(2pi/9)^2/sqrt{(4^2+1)}

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

Izračunaj c

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

Koraci rješavanja linearne jednadžbe

Evaluate trigonometric functions in the problem

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

Izračunajte koliko je 2 na 0,8390996311772799 da biste dobili 0,70408819104184715837886196294401.

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

Dodajte 1 broju 0,70408819104184715837886196294401 da biste dobili 1,70408819104184715837886196294401.

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

Izračunajte koliko je 2 na 4 da biste dobili 16.

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

Dodajte 16 broju 1 da biste dobili 17.

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

Racionalizirajte nazivnik \frac{1,70408819104184715837886196294401}{\sqrt{17}} množenje brojnik i nazivnik \sqrt{17}.

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

Kvadrat od \sqrt{17} je 17.

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

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

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

Dodijeli c

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