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(1)
tan(α＋π/4)=
(tanα+tanπ/4)/(1-tanαtanπ/4)=
(tanα+1)/(1-tanα)=-3
(2)
[sin2α+cos^2(π-α)]/(1+cos2α)
= (2sinαcosα-cos^2α)/(1+2cos^2α-1)
= (2sinαcosα-cos^2α)/(2cos^2α)
= tanα-1/2
= 3/2
tan(α＋π/4)=
(tanα+tanπ/4)/(1-tanαtanπ/4)=
(tanα+1)/(1-tanα)=-3
(2)
[sin2α+cos^2(π-α)]/(1+cos2α)
= (2sinαcosα-cos^2α)/(1+2cos^2α-1)
= (2sinαcosα-cos^2α)/(2cos^2α)
= tanα-1/2
= 3/2
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