cos(π/2-5π/4)等于多少

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cos(π/2-5π/4)等于多少

cos(π/2-5π/4)等于多少
cos(π/2-5π/4)等于多少

cos(π/2-5π/4)等于多少
cos(π/2-5π/4)
=cos(2π/4-5π/4)
=cos(-(3π/4)因为是偶函数,所以
=cos3π/4
=√2/2

=cos∏/2cos5π/4+sinπ/2sin5π/4=sin(π+π/4)=根号2/2

cos(π/2-5π/4)=cos( - 3π/4)
=cos(3π/4)
= - sin π/4
= - √2 / 2