tan^6 180/9 – 33 tan^4 180/9 + 27 tan2 180/9 is

Hello student, Please find the answer to your question below

tan^6 180/9 – 33 tan^4 180/9 + 27 tan2 180/9
= take tan square common

tan²20( tan⁴20 – 33 tan²20 + 27 )
now you can apply the tan square formula

3tanA-tan^3Atan3A = ______________ 1-3tan^2AA=20 than, 3tan(20)-tan^3(20)tan(60)= _____________________ 1-3tan^2(20)By cross multiplication Tan^6(20)-33tan^4(20)+27tan^2(20)=3