princessrichgirl
princessrichgirl princessrichgirl
  • 30-07-2021
  • Mathematics
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verify sin2θ/1+cos2θ =tanθ

verify sin2θ1cos2θ tanθ class=

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sk5634943
sk5634943 sk5634943
  • 30-07-2021

Answer:

LHS.= Sin 2x /( 1 + cos2x )

We have , sin 2x = 2 sinx•cosx

And. cos2x = 2cos^2 x - 1

i.e . 1+ cosx 2x = 2cos^2x

Putting the above results in the LHSwe get,

Sin2x/ ( 1+ cos2x ) =2 sinx•cosx/2cos^2x

=sinx / cosx

= Tanx

.•. sin2x/(1 + cos2x)= tanx

Step-by-step explanation:

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