<prompt> Ikiwa cos theta frac14, basi tafuta cos 3 theta.  <response>: Nakumbuka kwamba kuna fomula ya cos 3 theta kulingana na cos theta, ambayo ni cos 3 theta 4 cos3 theta - 3 cos theta. I inaweza kutumia fomula hii na kuunganisha cos theta frac14 kupata cos 3 theta 4 kushotofrac14kulia3 - 3 kushotofrac14kulia. Kwa kurahisisha, napata cos 3 theta frac116 - frac34 -frac11 16. 