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sin([tex]\frac{3\pi}{2}[/tex] +arctg(-1))
[tex]\frac{\sqrt{2} }{2}[/tex]
[tex]- \frac{\sqrt{2} }{2}[/tex]
[tex]\frac{1}{2}[/tex]
[tex]-\frac{1}{2}[/tex]
sin([tex]\frac{3\pi}{2}[/tex] +arctg(-1))
[tex]\frac{\sqrt{2} }{2}[/tex]
[tex]- \frac{\sqrt{2} }{2}[/tex]
[tex]\frac{1}{2}[/tex]
[tex]-\frac{1}{2}[/tex]
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arctg(-1)
tgx=-1 x=-pi/4+pi*n
sin(3pi/2+(-pi/4)=sin(6pi/4-pi/4)=sin 5pi/4=-1/2
Ответ: -1/2