Пожалуйста,решить хоть что-то из этого!

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