三角学示例

\frac{\sin^{2} (x)}{\cos (x)} + \frac{\cos (x)}{1}

$\frac{\sin^{2} (x)}{\cos (x)} + \frac{\cos (x)}{1}$

解题步骤 1

从

\sin^{2} (x)

$\sin^{2} (x)$ 中分解出因数

\sin (x)

$\sin (x)$ 。

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

$\frac{\sin (x) \sin (x)}{\cos (x)} + \frac{\cos (x)}{1}$

解题步骤 2

分离分数。

\frac{\sin (x)}{1} \cdot \frac{\sin (x)}{\cos (x)} + \frac{\cos (x)}{1}

$\frac{\sin (x)}{1} \cdot \frac{\sin (x)}{\cos (x)} + \frac{\cos (x)}{1}$

解题步骤 3

将

\frac{\sin (x)}{\cos (x)}

$\frac{\sin (x)}{\cos (x)}$ 转换成

\tan (x)

$\tan (x)$ 。

\frac{\sin (x)}{1} \tan (x) + \frac{\cos (x)}{1}

$\frac{\sin (x)}{1} \tan (x) + \frac{\cos (x)}{1}$

解题步骤 4

用

\sin (x)

$\sin (x)$ 除以

1

$1$ 。

\sin (x) \tan (x) + \frac{\cos (x)}{1}

$\sin (x) \tan (x) + \frac{\cos (x)}{1}$

解题步骤 5

用

\cos (x)

$\cos (x)$ 除以

1

$1$ 。

\sin (x) \tan (x) + \cos (x)

$\sin (x) \tan (x) + \cos (x)$

三角学 示例