Tan2 30°+tan2 45°+tan2 60°

Asked by Likithavenk | 18th Jun, 2019, 09:36: PM

Expert Answer:

begin mathsize 16px style tan squared 30 degree plus tan squared 45 degree plus tan squared 60 degree
equals open parentheses fraction numerator 1 over denominator square root of 3 end fraction close parentheses squared plus space open parentheses 1 close parentheses squared space plus space open parentheses square root of 3 close parentheses squared
equals 1 third plus space 1 space plus space 3
equals space 1 third plus fraction numerator space 1 cross times 3 space over denominator 1 cross times 3 end fraction plus space fraction numerator 3 cross times 3 over denominator 1 cross times space 3 end fraction
equals fraction numerator 1 plus 3 plus space 9 over denominator 3 end fraction
equals 13 over 3
end style

Answered by Yasmeen Khan | 19th Jun, 2019, 09:31: AM