a) `sin 2x - cos 2x =0`
`<=> sin 2x = cos 2x`
`<=> sin 2x = sin ( 2x + π)`
`<=> ` \(\left[ \begin{array}{l}2x=2x+π + k2π\\2x=π - 2x - π + k2π\end{array} \right.\)
`<=>` \(\left[ \begin{array}{l}0x=π+k2π\\ x= \dfrac{kπ}{2}\end{array} \right.\)
`<=> x = k π/2`
b) `tan3x .cot(x+π/3) = 1`
`<=> tan 3x = tan(x + π/3)`
`<=> 3x = x + π/3 + kπ`
`<=> 2x = π/3 + kπ`
`<=> x = π/6 + k π/2`