Given: sin2x-cos2x now by applying double angle formula for sin2x sin2x = 2sinx*cosx for cos2x <span>cos2x = (cosx*cosx - sinx*sinx) </span>now putting these above values in given equation <span>2sinx*cosx - (cosx*cosx - sinx*sinx) </span>now simplifyng <span>2sinx*cosx - cosx*cosx + sinx*sinx </span>so the right answer is <span>2sinx*cosx - cosx*cosx + sinx*sinx</span>