展开 (cos^2(x))/(sec^2(x)(tan^2(x)-1))

解答

展开

\frac{cos ^{2} ( x )}{sec ^{2} ( x ) ( tan ^{2} ( x ) - 1 )}

\frac{cos ^{2} ( x )}{- 1 + tan ^{4} ( x )}

求解步骤

\frac{cos ^{2} ( x )}{sec ^{2} ( x ) ( tan ^{2} ( x ) - 1 )}

乘开

sec^{2} (x) (tan^{2} (x) - 1) : sec^{2} (x) tan^{2} (x) - sec^{2} (x)

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

化简

sec^{2} (x) tan^{2} (x) - sec^{2} (x) : tan^{4} (x) - 1

= \frac{cos ^{2} ( x )}{- 1 + tan ^{4} ( x )}

s im pl i f y e^{i (2 t + \frac{π}{4})}

e x p an d (L^{\frac{1}{2}} + K^{\frac{1}{2}})^{2}

e x p an d - \frac{4}{( e ^{x} - e ^{- x} ) ^{2}}

e x p an d (- 8 i + (- 5), 2 j) \cdot (9, 7 i + (- 0), 7 j)

e x p an d - \frac{2 ( 4 + 79 )}{3}