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BlackStar14
@BlackStar14
August 2021
1
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В-это бетта
Докажите,что при допустимых значениях В значение выражения не зависит от В:
А) [tex](tgB+ctgB)^{2} - (tgB-ctgB)^{2} [/tex]
Б) [tex] \frac{sin^{4}B-cos^{4} B }{sin^{2} B-cos^{2} B} [/tex]
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sedinalana
Verified answer
А
tg²B+2tgB*ctgB+ctg²B-tg²B+2tgB*ctgB-ctg²B=2+2=4
tgB*ctgB=1
Б
(sin²B-cos²B)(sin²B+cos²B)/(sin²B-cos²B)=sin²B+cos²B=1
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Answers & Comments
Verified answer
Аtg²B+2tgB*ctgB+ctg²B-tg²B+2tgB*ctgB-ctg²B=2+2=4
tgB*ctgB=1
Б
(sin²B-cos²B)(sin²B+cos²B)/(sin²B-cos²B)=sin²B+cos²B=1