f x =sin(pai*x/4-pai/6)-2(cos pai*x/8)^2+1

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f x =sin(pai*x/4-pai/6)-2(cos pai*x/8)^2+1
f x =sin(pai*x/4-pai/6)-2(cos pai*x/8)^2+1

f x =sin(pai*x/4-pai/6)-2(cos pai*x/8)^2+1
f(x)=sin(πx/4-π/6)-2cos²πx/8+1
={sinπx/4*cosπ/6-cosπx/4*sinπ/6}-{2cos²πx/8-1}
={sinπx/4*cosπ/6-cosπx/4*sinπ/6}-{cos²πx/8-sin²πx/8}
={sinπx/4*cosπ/6-cosπx/4*sinπ/6}-cosπx/4
=√3/2sinπx/4-3/2cosπx/4