求值cos5π/8*cosπ8

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求值cos5π/8*cosπ8

求值cos5π/8*cosπ8
求值cos5π/8*cosπ8

求值cos5π/8*cosπ8
cos5π/8*cosπ/8
=-cos(π-5π/8)*cosπ/8
=-cos3π/8*cosπ/8
=-cos(π/2-π/8)*cosπ/8
=-sin(π/8)*cosπ/8
=-sin(π/4)/2
=-√2/4