samigupta8
  • samigupta8
the value of tan20°.tan40°.tan80°
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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experimentX
  • experimentX
add tan 60 to make things easier
samigupta8
  • samigupta8
then also wt is the use of it
experimentX
  • experimentX
woops!! looks like you can't use reflection formula

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anonymous
  • anonymous
by "add" i think @experimentX means "multiply by"
experimentX
  • experimentX
lol .. yeah sorry.
anonymous
  • anonymous
just being picky we knew what you meant
experimentX
  • experimentX
\[ \tan 20 \tan (60 - 20 ) \tan(60 + 20) = \tan 20 \left( \frac{\tan^2 60 - \tan^ 2 20 }{1 - \tan ^2 20 \tan ^2 60 }\right) \] We also know that \[ \tan (3*20) = \tan 60 \] find the value of tan(20) and put is there
samigupta8
  • samigupta8
i got itt....
experimentX
  • experimentX
there is easier method write it up as. sin(20) sin(40) sin(80) ------------------- cos(20) cos(40) cos(80) then \[\frac{\sin 20 \sin(60 - 20)\sin(60 + 20)}{\cos 20 \cos(60 - 20)\cos(60 + 20)}\] after slight manipulation the numerator should turn to sin(3*20) and denominator should turn into cos(3*20) where you get tan(60) which is your value.1

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