求解 tan^22-1/2tan2+1

$$\frac { \tan ^ { 2 } 2 - 1 } { 2 \tan 2 + 1 }$$

求值

$$-\frac{3329268466193680736623251433466157}{3566138463278318200000000000000000}\approx -0.933578015$$

求解步骤

对题中的三角函数求值

$$\frac{0.03492076949174773 ^ {2} - 1}{2 \cdot 0.03492076949174773 + 1}$$

计算 2 的 0.03492076949174773 乘方，得到 0.0012194601418957790130245699601529。

$$\frac{0.0012194601418957790130245699601529-1}{2\times 0.03492076949174773+1}$$

将 0.0012194601418957790130245699601529 减去 1，得到 -0.9987805398581042209869754300398471。

$$\frac{-0.9987805398581042209869754300398471}{2\times 0.03492076949174773+1}$$

将 2 与 0.03492076949174773 相乘，得到 0.06984153898349546。

$$\frac{-0.9987805398581042209869754300398471}{0.06984153898349546+1}$$

0.06984153898349546 与 1 相加，得到 1.06984153898349546。

$$\frac{-0.9987805398581042209869754300398471}{1.06984153898349546}$$

将分子和分母同时乘以 10000000000000000000000000000000000 以展开 \frac{-0.9987805398581042209869754300398471}{1.06984153898349546}。

$$\frac{-9987805398581042209869754300398471}{10698415389834954600000000000000000}$$

通过求根和消去 3，将分数 \frac{-9987805398581042209869754300398471}{10698415389834954600000000000000000} 降低为最简分数。

$$-\frac{3329268466193680736623251433466157}{3566138463278318200000000000000000}$$

因式分解

$$-\frac{3329268466193680736623251433466157}{3566138463278318200000000000000000} = -0.9335780145600727$$