Решите тригонометрические неравенства.(c помощью единичной окружности)
а)[tex]sin \frac{2x}{3} \ \textless \ - \frac{ \sqrt{2} }{2} [/tex]
б )[tex]cos ^{2} \frac{x}{4} -sin ^{2} \frac{x}{4} \ \textless \ - \frac{ \sqrt{3} }{2} [/tex]
а)[tex]sin \frac{2x}{3} \ \textless \ - \frac{ \sqrt{2} }{2} [/tex]
б )[tex]cos ^{2} \frac{x}{4} -sin ^{2} \frac{x}{4} \ \textless \ - \frac{ \sqrt{3} }{2} [/tex]
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1)5π/4+2πт<2x/3<7π/4+2πn5π/4*3/2+2πn*3/2<x<7π/4*3/2+2πn*3/2
15π/8+3πn<x<21π/8+3πn
2)cos²x/4-sin²x/4=cosx/2<-√3/2
5π/6+2πn<x/2<7π/6+2πn
5π/3+4πn<x<7π/3+4πn