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受欢迎的代数 >

化简 1/(1+cos(x))-1/(1-cos(x))

解答

化简

\frac{1}{1 + cos ( x )} - \frac{1}{1 - cos ( x )}

解答

- 2 cot (x) csc (x)

求解步骤

\frac{1}{1 + cos ( x )} - \frac{1}{1 - cos ( x )}

合并

\frac{1}{1 + cos ( x )} - \frac{1}{1 - cos ( x )} : - \frac{2 cos ( x )}{( cos ( x ) + 1 ) ( - cos ( x ) + 1 )}

= - \frac{2 cos ( x )}{( cos ( x ) + 1 ) ( - cos ( x ) + 1 )}

化简

(cos (x) + 1) (- cos (x) + 1) : sin^{2} (x)

= - \frac{2 cos ( x )}{sin ^{2} ( x )}

化简

\frac{2 cos ( x )}{sin ^{2} ( x )} : 2 cot (x) csc (x)

= - 2 cot (x) csc (x)

流行的例子

e x p an d (x + 8)^{3}

化简 1/2 × (-2)

s im pl i f y \frac{1}{2} \times (- 2)

\frac{56}{3}

化简 (12a^5-6a-10a^3)-(10a-2a^5-14a^4)

s im pl i f y (12 a^{5} - 6 a - 10 a^{3}) - (10 a - 2 a^{5} - 14 a^{4})

s im pl i f y 3 x + 3 x