Ответ:
sin2x / sinx + cos x = 2sinx cosx / sinx + cosx = 2sinx cosx / (sinx + cosx)(sinx + cosx) = 2sinx cosx / sin²x + 2sinx cosx + cos²x
cos 6a / cos3a - sin 3 a = 2cos³a - 1 / cos³a - sin³a = (2cos³a - 1)(cos³a + sin³a) / (cos³a - sin³a)(cos³a + sin³a) = (2cos⁶a - cos³a) / (cos⁶a - sin⁶a)
cos 6 x - cos 2x / sin 2x = -2sin²2x / sin2x = -2sin2x
Объяснение:
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Ответ:
sin2x / sinx + cos x = 2sinx cosx / sinx + cosx = 2sinx cosx / (sinx + cosx)(sinx + cosx) = 2sinx cosx / sin²x + 2sinx cosx + cos²x
cos 6a / cos3a - sin 3 a = 2cos³a - 1 / cos³a - sin³a = (2cos³a - 1)(cos³a + sin³a) / (cos³a - sin³a)(cos³a + sin³a) = (2cos⁶a - cos³a) / (cos⁶a - sin⁶a)
cos 6 x - cos 2x / sin 2x = -2sin²2x / sin2x = -2sin2x
Объяснение: