Объяснение:
1.
sin(π/2-α)=cosα
2.
sin(π-α)=sinα
3.
cos(α+270)=cos(α+180+90)=
=cos(180+90+α)= -cos(90+α)=
= -(-sinα)=sinα
4.
cos(α-180)=cos(-180+α)=cos(-(180-α)=
=cos(180-α)= -cosα
5.
cos²(3π-α)=(-cosα)²=cos²α
6.
sin(3π/2+α)=sin(π+π/2+α)=
= -sin(π/2+α)= -cosα
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Verified answer
Объяснение:
1.
sin(π/2-α)=cosα
2.
sin(π-α)=sinα
3.
cos(α+270)=cos(α+180+90)=
=cos(180+90+α)= -cos(90+α)=
= -(-sinα)=sinα
4.
cos(α-180)=cos(-180+α)=cos(-(180-α)=
=cos(180-α)= -cosα
5.
cos²(3π-α)=(-cosα)²=cos²α
6.
sin(3π/2+α)=sin(π+π/2+α)=
= -sin(π/2+α)= -cosα