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Муса134
@Муса134
August 2022
1
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СРОЧНО!!! Упростить выражение. 4*sin^4(x)-4*sin^2(x)+sin^2(2x)+ctg(x)*tg(2x)*(tg^2(x)-1)
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армения20171
4sin⁴x-4sin²x+sin²2x+ctgx•tg2x(tg²х-1)=
4sin²x(sin²x-1)+sin²2x+ctgx•
2tgx/(1-tg²x) *(-(1-tg²x)
=-4sin²x•cos²x+4sin²x•cos²x-
2tgx•ctgx=0-2•1=-2
1 votes
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Answers & Comments
4sin²x(sin²x-1)+sin²2x+ctgx•
2tgx/(1-tg²x) *(-(1-tg²x)
=-4sin²x•cos²x+4sin²x•cos²x-
2tgx•ctgx=0-2•1=-2