求值sin^4(π/8)+cos^4(π/8) 答对有分`

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求值sin^4(π/8)+cos^4(π/8) 答对有分`
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求值sin^4(π/8)+cos^4(π/8) 答对有分`
求值sin^4(π/8)+cos^4(π/8) 答对有分`

求值sin^4(π/8)+cos^4(π/8) 答对有分`
sin^4(π/8)+cos^4(π/8)
=( sin^2(π/8)+cos^2(π/8) )^2-2sin^2(π/8)+cos^2(π/8)
=1-2sin^2(π/8)cos^2(π/8)
=1-1/2 ( 4sin^2(π/8)cos^2(π/8))
=1-1/2 ( sin2*(π/8))^2
=1-1/2 *1/2
=3/4