a) tg (2x-π/8) = 1 2x-π/8=π/4 + kπ 2x=3π/8 + kπ x=3π/16 + ½kπ b) ctg (1/3x + π/3) = √3 1/3x + π/3 = π/6 + kπ ⅓x=-π/6 + kπ x=-π/2 + 3kπ c) 3 + 4cos (0,5x) = -1 4cos(0,5x)=-4 cos(0,5x)=-1 0,5x=π+2kπ x=2π+4kπ d) 2sin3x = -√2 sin3x = -√2/2 3x=-π/4 + 2kπ lub 3x=-3π/4 + 2kπ x=-π/12 + ⅔kπ lub x=-π/4 + ⅔kπ e) 3ctg (2x+π) = -√3 ctg(2x+π)=-√3/3 2x+π
a) tg (2x-π/8) = 1 2x-π/8=π/4 + kπ 2x=3π/8 + kπ x=3π/16 + ½kπ b) ctg (1/3x + π/3) = √3 1/3x + π/3 = π/6 + kπ ⅓x=-π/6 + kπ x=-π/2 + 3kπ c) 3 + 4cos (0,5x) = -1 4cos(0,5x)=-4 cos(0,5x)=-1 0,5x=π+2kπ x=2π+4kπ d) 2sin3x = -√2 sin3x = -√2/2 3x=-π/4 + 2kπ lub 3x=-3π/4 + 2kπ x=-π/12 + ⅔kπ lub x=-π/4 + ⅔kπ e) 3ctg (2x+π) = -√3 ctg(2x+π)=-√3/3 ctg(-2x-π)=√3/3 -2x-π=π/2 2x=-3π/2 x=-3π/4
