Verifying the identity of trigonometry


Problems:

verify the identity of trigonometry

(1) sinx/(1-cosx)=cscx+cotx, 0

(2)(cosx)2-(sinx)2-sin(2x)=((cos2x)2-(sin(2x)2)/(cos2x+sin2x)

(3)sin(pi/4-x)=sqrt(2)/2(cosx-sinx)

(4)sin(180-x+y)=sinxcosy-cosxsiny

(5)2sinxsin3x=(1-cos2x)(1+2cos2x)

(6)sinx-cos2x=(2sinx-1)(sinx+1).

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Mathematics: Verifying the identity of trigonometry
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