Спростіть вираз: 1) cos(3pi/2+α) 2) cos(pi-α) 3) sin(180`+α) 4) sin^2(5pi/2+α). Created by daryapoddubnaya03. algebra-ru

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daryapoddubnaya03 @daryapoddubnaya03

July 2022 1 9 Report

Спростіть вираз:

1) cos(3pi/2+α)
2) cos(pi-α)
3) sin(180`+α)
4) sin^2(5pi/2+α)

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$1)Cos(\frac{3\pi }{2}+\alpha)=Sin\alpha\\\\2)Cos(\pi-\alpha)=-Cos\alpha\\\\3)Sin(180^{o}+\alpha)=-Sin\alpha\\\\4)Sin^{2}(\frac{5\pi }{2}+\alpha)=Sin^{2}(2\pi+\frac{\pi }{2}+\alpha)=Sin^{2}(\frac{\pi }{2}+\alpha)=Cos^{2}\alpha$

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