Question

алгебра 10 класс решите выражения ​

Answer 1

Ответ:

$a) = {sin}^{2} \alpha + 2sin \alpha cos \alpha + {cos}^{2} \alpha - 2sin \alpha cos \alpha = {sin}^{2} \alpha + {cos}^{2} \alpha = 1$

$b) = \frac{7 - ( {sin}^{2} \alpha + {cos}^{2} \alpha ) }{3({sin}^{2} \alpha + {cos}^{2} \alpha )} = \frac{7 - 1}{3} = 2$

$v) = { ({sin}^{2} \alpha })^{2} + 2 {sin}^{2} \alpha {cos}^{2} \alpha + { ({cos}^{2} \alpha })^{2} = ( {sin}^{2} \alpha + cos ^{2} \alpha ) ^{2} = {1}^{2} = 1$

g)sin^4a-cos^4a / sin^2a-cos^2a =

(sin^2a-cos^2a)(sin^2a+cos^2a) / sin^2a-cos^2a =

(sin^2a + cos^2a)*1= = 1