解決tan^22-1/2tan2+1 |Microsoft數學求解器

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

評估

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

解題步驟

對題中的三角函數求值

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

計算 0.03492076949174773 的 2 乘冪，然後得到 0.0012194601418957790130245699601529。

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

從 0.0012194601418957790130245699601529 減去 1 會得到 -0.9987805398581042209869754300398471。

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

將 2 乘上 0.03492076949174773 得到 0.06984153898349546。

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

將 0.06984153898349546 與 1 相加可以得到 1.06984153898349546。

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

同時對分子與分母乘上 10000000000000000000000000000000000 以展開 \frac{-0.9987805398581042209869754300398471}{1.06984153898349546}。

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

透過找出與消去 3，對分式 \frac{-9987805398581042209869754300398471}{10698415389834954600000000000000000} 約分至最低項。

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

因式分解

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