Найдите значение функции y = 2cos(x - [tex] \frac{ \pi }{4} [/tex] ) - 1 ,если x = - [tex] \frac{ \pi }{2} [/tex] . Created by HobbitS. algebra-ru

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Найдите значение функции y = 2cos(x - [tex] \frac{ \pi }{4} [/tex] ) - 1 ,
если x = - [tex] \frac{ \pi }{2} [/tex]

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Лотарингская $y( -\frac{ \pi }{2} )=2cos(-\frac{ \pi }{2} -\frac{ \pi }{4} )-1=2(cos(-\frac{ \pi }{2})\cdot cos( -\frac{ \pi }{4})-sin(-\frac{ \pi }{2})\cdot sin(-\frac{ \pi }{4}))-1=2( 0-1\cdot \frac{ \sqrt{2} }{2} )-1=-\sqrt{2}-1$

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