Question

(sin⁡(a+cos⁡a)^2- 1)/(ctg a-sin⁡a ×cos⁡a )=2tg^2 a

Answer 1

$frac{(sina+cosa)^2-1}{ctga-sinacdot cosa}= frac{(sin^2a+cos^2a)+2, sina, cosa-1}{frac{cosa}{sina}-sina, cosa}= frac{1+2sina, cosa-1}{frac{cosa-sin^2a, cosa}{cosa} }=\\= frac{2, sin^2a, cosa}{cosa(1-sin^2a)}= frac{2sin^2a}{cos^2a} =2tg^2a; ;\\2tg^2a=2tg^2a$

Answer 2

Спасибо))))