Question

Упростите выражения:
1) 1-cosA*1+cosA
2)cos^2 A *(1-tg^2A)
A-значит "альфа"

Answer 1

$begin{array}{l} 1.left( 1-cos(alpha )right) left( 1+cos(alpha )right) .\ text{Formula;}a^{2}-b^{2}=(a-b)(a+b).\ 1-cos^{2}(alpha )=sin^{2}(alpha ).\ 2.cos^{2}(alpha )(1-tg^{2}(alpha )).\ cos^{2}(alpha )(ctg(alpha )tg(alpha )-tg^{2}(alpha )).\ cos^{2}(alpha )tg(alpha )(ctg(alpha )-tg(alpha )).\ cos^{2}(alpha )frac{sin(alpha )}{cos(alpha )} (frac{cos(alpha )}{sin(alpha )} -frac{sin(alpha )}{cos(alpha )} ).\ cos(alpha )sin(alpha )frac{cos(alpha )cos(alpha )-sin(alpha )sin(alpha )}{sin(alpha )cos(alpha )} .\ cos^{2}(alpha )-sin^{2}(alpha )=cos(2alpha ).\ text{Formula;}tg(alpha )=frac{sin(alpha )}{cos(alpha )} ;text{ctg(alpha )=}frac{cos(alpha )}{sin(alpha )} ; end{array}$

Answer 2

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Answer 3

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