<prompt> Kwa kuzingatia hilocos 2 theta frac1 sqrt54,pata tan2 theta tan2 3 theta.  <response>: Tuna hiyocos2 theta - sin2 theta frac1 sqrt54.Kishafraccos2 theta - sin2 thetacos2 theta sin2 theta frac1 sqrt54, hivyofrac1 - tan2 theta1 tan2 theta frac1 sqrt54.Kutenga tan2 theta , tunapatatan2 theta fracsqrt5 - 2sqrt5.Kishaanzaaligntan2 3 theta tan 3 theta2 kushoto frac3 tan theta - tan3 theta1 - 3 tan2 theta kulia2 tan2 theta cdot kushoto frac3 - tan2 theta1 - 3 tan2 theta kulia2 fracsqrt5 - 2sqrt5 cdot left frac3 - fracsqrt5 - 2sqrt5 1 - 3 cdot fracsqrt5 - 2sqrt5 kulia2 fracsqrt5 - 2sqrt5 cdot left frac2 sqrt5 2-2 sqrt5 6 kulia 2 fracsqrt5 - 2sqrt5 cdot left fracsqrt5 1-sqrt5 3 kulia 2 fracsqrt5 - 2sqrt5 cdot left fracsqrt5 13 sqrt53 - sqrt53 sqrt5 kulia2 fracsqrt5 - 2sqrt5 cdot left frac8 4 sqrt54 kulia2 fracsqrt5 - 2sqrt5 cdot 2 sqrt52,mwishoalignhivyoanzaaligntan2 theta tan2 3 theta kushoto fracsqrt5 - 2sqrt5 kulia2 2 sqrt5 2 kushoto frac2 sqrt52 - sqrt5sqrt5 kulia2 frac15.mwishopanga 