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

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

Tarkista

Ratkaisun vaiheet

Evaluate trigonometric functions in the problem

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

Kerro 2 ja 0,554309051452769, niin saadaan 1,108618102905538.

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

Laske 0,554309051452769 potenssiin 2, jolloin ratkaisuksi tulee 0,307258524522468510629437767361.

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

Vähennä 0,307258524522468510629437767361 luvusta 1 saadaksesi tuloksen 0,692741475477531489370562232639.

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

Lavenna \frac{1,108618102905538}{0,692741475477531489370562232639} kertomalla sekä osoittaja että nimittäjä luvulla 1000000000000000000000000000000.

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

Muunna desimaaliluku 1,6003345290410507 murtoluvuksi \frac{16003345290410507}{10000000000}. Supista murtoluku \frac{16003345290410507}{10000000000} luvulla 1.

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

Lukujen 10000000000000000 ja 692741475477531489370562232639 pienin yhteinen jaettava on 6927414754775314893705622326390000000000000000. Muunna \frac{16003345290410507}{10000000000000000} ja \frac{1108618102905538000000000000000}{692741475477531489370562232639} murtoluvuiksi, joiden nimittäjä on 6927414754775314893705622326390000000000000000.

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

Vertaa kohteita \frac{11086181029055379286118927189462266310743937973}{6927414754775314893705622326390000000000000000} ja \frac{11086181029055380000000000000000000000000000000}{6927414754775314893705622326390000000000000000}.

$$\text{false}$$