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tinabashkatova
@tinabashkatova
July 2022
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Основное тригонометрическое торжество.
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1) sin x, если cos x = - 15/17; П 2) tgx, если cos x = 2/5; 0 3) cosx, если ctgx = - корень 2; П/2
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LyubaAlexandorovna
Основное тригонометрическое тождество sin^2(x)+cos^2(x)=1
1) sin(x)=√(1-(-15/17)^2)=√(289/289-225/289)=√64/289=8/17 ((0; П) sin(x)>0)
2) sin(x)=√(1-(2/5)^2)=√(25/25-4/25=√21/5 tq(x)=sin(x)/cos(x)=√21/2
3) ctq(x)=-√2 ctq(x)=cos(x)/sin(x)=-√2 cos(x)=-√2*sin(x)
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Answers & Comments
1) sin(x)=√(1-(-15/17)^2)=√(289/289-225/289)=√64/289=8/17 ((0; П) sin(x)>0)
2) sin(x)=√(1-(2/5)^2)=√(25/25-4/25=√21/5 tq(x)=sin(x)/cos(x)=√21/2
3) ctq(x)=-√2 ctq(x)=cos(x)/sin(x)=-√2 cos(x)=-√2*sin(x)