Prove that tanA+tan(60^(@)+A)+tan(120^(@...

Prove that `tanA+tan(60^(@)+A)+tan(120^(@)+A)=3tan3A`

Verified by Experts

`sin67^(@)1/2^(@)+cos67^(@)1/2^(@) = sqrt(1+sin135^(@)) = sqrt(1+1/sqrt(2))` (using `cosA+sinA=sqrt(1+sin2A))`
`=1/2sqrt(4+2sqrt(2))` Ans

Similar Questions

Explore conceptually related problems

tan(20^@) gt tan(120^(@))

Prove that : t a n A+tan(60^0+A)+tan(120^0+A)=3t a n3A

Prove that, tan65^(@)=tan25^(@)+2tan40^(@) .

Prove that, tan25^(@).tan15^(@)+tan15^(@)tan50^(@)+tan25^(@)tan50^(@)=1 .

Prove that (tan69^(@)+tan66^(@))/(1-tan69^(@)tan66^(@))=-1

Show that tan 48^(@) tan 16^(@) tan42^(@) tan 74^(@) =1

Prove that tan^(-1) 2 + tan^(-1) 3 = (3pi)/4

Show that ((1+tan ^(2) A) /(1+cot ^(2) A ) ) =((1- tanA )/( 1-cot A ))^(2)= tan ^(2) A

Prove that: tan^(-1) \ 2/3=1/2tan^(-1) \ 12/5

Prove that tan ^(-1)(1/5) + tan^(-1)(1/7) +tan^(-1)(1/3)+ tan ^(-1)(1/8) = pi/4