化简lg[cos(2π-x)cot(3π/2-x)+1-2xin^2x/2]+lg[根号2cos(x-π/4)]-lg[1-sin(π+2x)]请详细过程,谢谢!

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化简lg[cos(2π-x)cot(3π/2-x)+1-2xin^2x/2]+lg[根号2cos(x-π/4)]-lg[1-sin(π+2x)]请详细过程,谢谢!

化简lg[cos(2π-x)cot(3π/2-x)+1-2xin^2x/2]+lg[根号2cos(x-π/4)]-lg[1-sin(π+2x)]请详细过程,谢谢!
化简lg[cos(2π-x)cot(3π/2-x)+1-2xin^2x/2]+lg[根号2cos(x-π/4)]-lg[1-sin(π+2x)]
请详细过程,谢谢!

化简lg[cos(2π-x)cot(3π/2-x)+1-2xin^2x/2]+lg[根号2cos(x-π/4)]-lg[1-sin(π+2x)]请详细过程,谢谢!
lg[(cosx*tanx)+cosx](cosx+sinx)/(1+sin2x)]
=lg[(sinx+cosx)(cosx+sinx)/(sinx+cosx)^2]
=lg1
=0