x=tan(t) sin(t)-cos(t)=?

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x=tan(t) sin(t)-cos(t)=?

x=tan(t) sin(t)-cos(t)=?
x=tan(t) sin(t)-cos(t)=?

x=tan(t) sin(t)-cos(t)=?
(sint-cost)²
=sin²t+cos²t-2sintcost
=1-sin2t
由万能公式
=1-2tant/(1+tan²t)
=(1+tan²t-2tant)/(1+tan²t)
=(1-tant)²/(1+tan²t)
=(1-x)²/(1+x²)
所以原式=±(1-x)/√(1+x²)

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