Найдите значение выражения
[tex]\frac{12}{5sin( \frac{23 \pi }{4} )cos( \frac{21 \pi }{4} )} [/tex]
[tex]\frac{12}{5sin( \frac{23 \pi }{4} )cos( \frac{21 \pi }{4} )} [/tex]
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Answers & Comments
cos(21π/4)=cos(24π/4-3π/4)=cos(-3π/4)=cos(3π/4)=-(√2)/2
5sin(23π/4)cos(21π/4)=5(-√2/2)²=5/2
12/(5/2)=24/5
Otvet:24/5