2cos(pi-альфа)+(sin альфа+tg альфа)^2-cos^2 альфа

Question

Математика

Zoanlekel

6 год назад

2cos(pi-альфа)+(sin альфа+tg альфа)^2-cos^2 альфа

ОТВЕТЫ

Галактион

Jul 16, 2019

$2cos( \pi -a) + (sin(a) +tg(a))^2 - cos^2(a)amp;#10;amp;#10;-2cos(a) + sin^2(a) + \frac{2sin^2(a)}{cos(a)} + tg^2(a) - cos^2(a)amp;#10;amp;#10;sin^2(a) - cos^2(a) + \frac{2sin^2(a)}{cos(a)} - 2cos(a) + tg^2(a)amp;#10;$
$sin^2(a) - cos^2(a) + \frac{2sin^2(a) -2cos^2(a)}{cos^2(a)} + tg^2(a)amp;#10;amp;#10;$
$-cos(2a) + \frac{-2cos(2a)}{cos^2(a)} + tg^2(a)amp;#10;amp;#10;$
$-cos(2a) + -2cos2a \frac{1}{cos^2(a)} + tg^2(a)amp;#10;amp;#10;-cos(2a) -2cos(2a)(1+tg^2(a)) + tg^2(a)amp;#10;amp;#10;-3cos(2a) - cos(2a)tg^2(a) + tg^2(a)$

ответ:
$-3cos(2a) - tg^2(a)(cos(2a) - 1)$

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