Упростите выражение: (1-sin a)(1+sin a)/cos²(-a), a≠π/2+πn, n€Z.. Created by TatyanaBergman. algebra-ru

2+πn, n€Z...

TatyanaBergman @TatyanaBergman

June 2021 1 7 Report

Упростите выражение:
(1-sin a)(1+sin a)/cos²(-a), a≠π/2+πn, n€Z.

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$\frac{(1-Sin \alpha)(1+Sin \alpha ) }{Cos ^{2}(- \alpha ) } = \frac{1-Sin ^{2} \alpha }{Cos ^{2} \alpha } = \frac{Cos ^{2} \alpha }{Cos ^{2} \alpha }=1$

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