Question

Спростіть вираз. Алгебра 10 клас​

Answer 1

$\dfrac{\cos^2(-\alpha)}{1+\sin(-\alpha)} = \dfrac{1-\sin^2(-\alpha)}{1+\sin(-\alpha)} = \dfrac{(1-\sin(-\alpha))(1+\sin(-\alpha)}{1+\sin(-\alpha)} = 1 - \sin(-\alpha) =\\\\\\= 1 - (-\sin\alpha) = \boxed{1+\sin\alpha}$