Riješi tan(58^circ)=2tan(29^circ)/1-tan^2(29^circ)

$$\tan ( 58 ^ { \circ } ) = \frac { 2 \tan ( 29 ^ { \circ } ) } { 1 - \tan ^ { 2 } ( 29 ^ { \circ } ) }$$

Provjeri

Koraci rješenja

Evaluate trigonometric functions in the problem

$$1,6003345290410507 = \frac{2 \cdot 0,554309051452769}{1 - 0,554309051452769 ^ {2}}$$

Pomnožite 2 i 0,554309051452769 da biste dobili 1,108618102905538.

$$1,6003345290410507=\frac{1,108618102905538}{1-0,554309051452769^{2}}$$

Izračunajte koliko je 2 na 0,554309051452769 da biste dobili 0,307258524522468510629437767361.

$$1,6003345290410507=\frac{1,108618102905538}{1-0,307258524522468510629437767361}$$

Oduzmite 0,307258524522468510629437767361 od 1 da biste dobili 0,692741475477531489370562232639.

$$1,6003345290410507=\frac{1,108618102905538}{0,692741475477531489370562232639}$$

Proširite \frac{1,108618102905538}{0,692741475477531489370562232639} tako da i brojnik i nazivnik pomnožite sa 1000000000000000000000000000000.

$$1,6003345290410507=\frac{1108618102905538000000000000000}{692741475477531489370562232639}$$

Pretvorite decimalni broj 1,6003345290410507 u razlomak \frac{16003345290410507}{10000000000}. Skratite razlomak \frac{16003345290410507}{10000000000} na najmanje vrijednosti tako da izlučite i poništite 1.

$$\frac{16003345290410507}{10000000000000000}=\frac{1108618102905538000000000000000}{692741475477531489370562232639}$$

Najmanji zajednički višekratnik brojeva 10000000000000000 i 692741475477531489370562232639 je 6927414754775314893705622326390000000000000000. Pretvorite \frac{16003345290410507}{10000000000000000} i \frac{1108618102905538000000000000000}{692741475477531489370562232639} u razlomak s nazivnikom 6927414754775314893705622326390000000000000000.

$$\frac{11086181029055379286118927189462266310743937973}{6927414754775314893705622326390000000000000000}=\frac{11086181029055380000000000000000000000000000000}{6927414754775314893705622326390000000000000000}$$

Usporedite \frac{11086181029055379286118927189462266310743937973}{6927414754775314893705622326390000000000000000} i \frac{11086181029055380000000000000000000000000000000}{6927414754775314893705622326390000000000000000}.

$$\text{false}$$