1-2sin²*5π/8

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1-2sin²*5π/81-2sin²*5π/81-2sin²*5π/81-2sin²*5π/8=cos(2*5π/8)=cos(5π/4)=-cos(π/4)

1-2sin²*5π/8
1-2sin²*5π/8

1-2sin²*5π/8
1-2sin²*5π/8
=cos(2*5π/8)
=cos(5π/4)
=-cos(π/4)
=-√2/2