How do you prove this identity?

cos2x*tan(π\4-x)= 1-sin2x

1 answer

tan(π/4 - x) = (tanπ/4 - tanx)/(1 + tanπ/4 tanx)
= (1-tanx)/(1+tanx)
= (cosx-sinx)/(cosx+sinx)

see what you can do with that.
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