(1/2)(sin2x+cos2x)-1/2怎么等于(√2/2)sin(2x+45°)-1/2要guo'cheng

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(1/2)(sin2x+cos2x)-1/2怎么等于(√2/2)sin(2x+45°)-1/2要guo'cheng

(1/2)(sin2x+cos2x)-1/2怎么等于(√2/2)sin(2x+45°)-1/2要guo'cheng
(1/2)(sin2x+cos2x)-1/2怎么等于(√2/2)sin(2x+45°)-1/2要guo'cheng

(1/2)(sin2x+cos2x)-1/2怎么等于(√2/2)sin(2x+45°)-1/2要guo'cheng
=√2/2(sin2x*√2/2+cos2x*√2/2)-1/2
=√2/2(sin2xcos45+cos2xsin45)-1/2
=√2/2sin(2x+45)-1/2