Question

(1-COS^A)(SIN^2A+COS^2+2)=

Answer 1

Ответ:

$(1 - { \cos }^{2} \alpha )( { \sin }^{2} \alpha + { \cos}^{2} \alpha + 2) = \\ = { \sin }^{2} \alpha \times (1 + 2) = 3 { \sin }^{2} \alpha$

Answer 2

Ответ:

$\boxed{\ sin^2a+cos^2a=1\ \ \ \to \ \ \ sin^2a=1-cos^2a\ }\\\\\\(\underbrace {1-cos^2a}_{sin^2a})(\underbrace {sin^2a+cos^2a}_{1}+2)=sin^2a\cdot 3=3\, sin^2a$