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

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

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Passos Para a Resolução

Evaluate trigonometric functions in the problem

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

Multiplique 2 e 0,554309051452769 para obter 1,108618102905538.

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

Calcule 0,554309051452769 elevado a 2 e obtenha 0,307258524522468510629437767361.

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

Subtraia 0,307258524522468510629437767361 de 1 para obter 0,692741475477531489370562232639.

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

Expanda \frac{1,108618102905538}{0,692741475477531489370562232639} ao multiplicar o numerador e o denominador por 1000000000000000000000000000000.

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

Converta o número decimal 1,6003345290410507 na fração \frac{16003345290410507}{10000000000}. Reduza a fração \frac{16003345290410507}{10000000000} para os termos mais baixos ao retirar e anular 1.

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

O mínimo múltiplo comum de 10000000000000000 e 692741475477531489370562232639 é 6927414754775314893705622326390000000000000000. Converta \frac{16003345290410507}{10000000000000000} e \frac{1108618102905538000000000000000}{692741475477531489370562232639} em frações com o denominador 6927414754775314893705622326390000000000000000.

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

Compare \frac{11086181029055379286118927189462266310743937973}{6927414754775314893705622326390000000000000000} e \frac{11086181029055380000000000000000000000000000000}{6927414754775314893705622326390000000000000000}.

$$\text{false}$$