Пожалуйста,решить хоть что-то из этого!

1.[latex] sin{x^2} = 0 ; [/latex][latex] left{egin{array}{l} x^2 = pi n , n in Z ; \ x^2 geq 0 . end{array}ight [/latex][latex] x^2 = pi n , n in ( { 0 } cup N ) ; [/latex]О т в е т :    [latex] x = pm sqrt{ pi } cdot sqrt{ n } , n in ( { 0 } cup N ) ; [/latex]2.[latex] cos{ ( cos{x} ) } = 1 ; [/latex][latex] left{egin{array}{l} cos{x} = 2 pi n , n in Z ; \ | cos{x} | leq 1 . end{array}ight [/latex][latex] cos{x} = 0 ; [/latex]О т в е т :    [latex] x = frac{ pi }{2} + pi n , n in Z ; [/latex]3.[latex] frac{ cos{x} }{ sin{x} - 1 } = 0 ; [/latex][latex] left{egin{array}{l} cos{x} = 0 ; \ sin{x} eq 1 . end{array}ight [/latex][latex] left{egin{array}{l} x = frac{ pi }{2} + pi n , n in Z ; \ x eq frac{ pi }{2} + 2 pi n , n in Z . end{array}ight [/latex]О т в е т :    [latex] x = -frac{ pi }{2} + 2 pi n , n in Z ; [/latex]4.[latex] sin{x} + sin{|x|} = 0 ; [/latex][latex] left[egin{array}{l} left{egin{array}{l} x < 0 , \ sin{x} - sin{x} = 0 ; end{array}ight \\ left{egin{array}{l} x geq 0 , \ sin{x} + sin{x} = 0 ; end{array}ight end{array}ight [/latex][latex] left[egin{array}{l} left{egin{array}{l} x < 0 , \ sin{x} = sin{x} ; end{array}ight \\ left{egin{array}{l} x geq 0 , \ 2sin{x} = 0 ; end{array}ight end{array}ight [/latex][latex] left[egin{array}{l} x < 0 , \\ left{egin{array}{l} x geq 0 , \ x = pi n , n in Z ; end{array}ight end{array}ight [/latex]О т в е т :    [latex] left[egin{array}{l} x leq 0 , \\ x = pi n , n in N ; end{array}ight [/latex]5.[latex] | cos{x} | = cos{x} + 2 sin{x} ; [/latex][latex] left[egin{array}{l} left{egin{array}{l} cos{x} < 0 , \ -cos{x} = cos{x} + 2 sin{x} ; end{array}ight \\ left{egin{array}{l} cos{x} geq 0 , \ cos{x} = cos{x} + 2 sin{x} ; end{array}ight end{array}ight [/latex][latex] left[egin{array}{l} left{egin{array}{l} cos{x} < 0 , \ 2 cos{x} + 2 sin{x} = 0 ; end{array}ight \\ left{egin{array}{l} cos{x} geq 0 , \ 2 sin{x} = 0 ; end{array}ight end{array}ight [/latex][latex] left[egin{array}{l} left{egin{array}{l} cos{x} < 0 , \ cos{x} + cos{ ( frac{ pi }{2} - x ) } = 0 ; end{array}ight \\ left{egin{array}{l} cos{x} geq 0 , \ sin{x} = 0 ; end{array}ight end{array}ight [/latex][latex] left[egin{array}{l} left{egin{array}{l} cos{x} < 0 , \ 2 cos{ frac{ x + [ pi/2 - x ] }{2} } cos{ frac{ x - [ pi/2 - x ] }{2} } = 0 ; end{array}ight \\ left{egin{array}{l} cos{x} geq 0 , \ x = pi n , n in Z ; end{array}ight end{array}ight [/latex][latex] left[egin{array}{l} left{egin{array}{l} cos{x} < 0 , \\ left|egin{array}{l} cos{ frac{ pi/2 }{2} } cos{ frac{ 2x - pi/2 }{2} } = 0 , \\ cos{ frac{ pi }{4} } cos{ ( x - frac{ pi }{4} ) } = 0 , \\ frac{ sqrt{2} }{2} cos{ ( x - frac{ pi }{4} ) } = 0 , \\ cos{ ( x - frac{ pi }{4} ) } = 0 , \\ ( x - frac{ pi }{4} ) = frac{ pi }{2} + pi n , n in Z ; \\ x = frac{ pi }{2} + frac{ pi }{4} + pi n , n in Z ; \\ x = frac{3}{4} pi + pi n , n in Z ; end{array}ight end{array}ight \\ x = 2pi n , n in Z ; end{array}ight [/latex][latex] left[egin{array}{l} x = frac{3}{4} pi + 2 pi n , n in Z ; \\ x = 2pi n , n in Z ; end{array}ight [/latex]О т в е т :    [latex] x = frac{3}{8} pi pm frac{3}{8} pi + 2 pi n , n in Z ; [/latex]