根号下2/4sin(π/4-x)+根号下6/4cos(π/4-x)

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根号下2/4sin(π/4-x)+根号下6/4cos(π/4-x)
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根号下2/4sin(π/4-x)+根号下6/4cos(π/4-x)
根号下2/4sin(π/4-x)+根号下6/4cos(π/4-x)

根号下2/4sin(π/4-x)+根号下6/4cos(π/4-x)
√2/4 sin(π/4-x)+√6/4 cos(π/4-x)
=√2/2 [1/2 sin(π/4-x)+√3/2 cos(π/4-x)]
=√2/2 [cosπ/3 sin(π/4-x)+sinπ/3 cos(π/4-x)]
=√2/2sin(π/4-x+π/3)
=√2/2sin(7π/12-x)
=√2/2sin(π/2+π/12-x)
=√2/2cos(π/12-x)