Question

prove that 1 + sin 2x minus Cos 2x 1 + sin 2x + cos 2x is equal to 10 x​

Answer 1

Answer:

Hello buddy..

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

I 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...........

Step-by-step explanation:

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