(sin3x-2sinx)=tgx...

July 2022 1 7 Report

cos3x/(sin3x-2sinx)=tgx

Answers & Comments

mawka75 Cos(3x)/(sin(3x) - 2sin(x)) = tg(x)
(4cos³(x) - 3cos(x))/(3sin(x) - 4sin³(x) - 2sin(x)) = tg(x)
(cos(x)*(4cos²(x) - 3)/(sin(x)*(1 - 4sin²(x))) = tg(x)
cos(x)*(2cos(2x) - 1)/(sin(x)*(2cos(2x) - 1) = tg(x)
ctg(x) = tg(x) --> tg(x) = ±1 --> x = π/4 + πk/2, k - целое.

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