化简 (cot(t))/(csc(t)-sin(t))

解答

化简

\frac{cot ( t )}{csc ( t ) - sin ( t )}

sec (t)

求解步骤

\frac{cot ( t )}{csc ( t ) - sin ( t )}

化简

csc (t) - sin (t) : cos (t) cot (t)

= \frac{cot ( t )}{cos ( t ) cot ( t )}

约分:

cot (t)

= \frac{1}{cos ( t )}

使用基本三角恒等式:

\frac{1}{cos ( x )} = sec (x)

= sec (t)

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