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Gal771
@Gal771
July 2022
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Используя периодичность тригонометрических функций, найдите значения выражения tg 7пи/3 ; sin 11пи/6 ;cos 9пи/4 ;ctg 10пи/3.
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sedinalana
Verified answer
Tg7π/3=tg(2π+π/3)=tgπ/3=√3
sin11π/6=sin(2π-π/6)=-sinπ/6=-1/2
cos9π/4=(2π+π/4)=cosπ/4=√2/2
ctg(10π/3)=ctg(3π+π/3)=ctgπ/3=√3/3
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Answers & Comments
Verified answer
Tg7π/3=tg(2π+π/3)=tgπ/3=√3sin11π/6=sin(2π-π/6)=-sinπ/6=-1/2
cos9π/4=(2π+π/4)=cosπ/4=√2/2
ctg(10π/3)=ctg(3π+π/3)=ctgπ/3=√3/3