sin2x / (1+cos2x) = tanx
We
will use trigonometric identities to solve.
We will start
from the left side and prove the right side.
==> we
know that:
sin2x -
2sinx*cosx
cos2x = 2cos^2 x
-1
We will
substitute.
==> sin2x / (1+ cos2x) = 2sinx*cosx /
(1+ 2cos^2 x -1)
=
2sinx*cosx/ 2cos^2 x
We will reduce
similar.
==> sin2x / (1+ cos2x) =
sinx/cosx
But we know that tanx =
sinx/cosx
==> sin2x / (1+ cos2x) =
tanx...........q.e.d
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