解決tan215^circtan145^circ/tan305^circ+tan35= |Microsoft數學求解器

$$\frac { \tan 215 ^ { \circ } \tan 145 ^ { \circ } } { \tan 305 ^ { \circ } + \tan 35 } =$$

評估

$$\frac{6128632457071275868842691978423}{9099255856655061250000000000000}\approx 0.673531172$$

解題步驟

對題中的三角函數求值

$$\frac{0.7002075382097092 \cdot -0.7002075382097102}{-1.4281480067421146 + 0.7002075382097097}$$

將 0.7002075382097092 乘上 -0.7002075382097102 得到 -0.49029059656570206950741535827384。

$$\frac{-0.49029059656570206950741535827384}{-1.4281480067421146+0.7002075382097097}$$

將 -1.4281480067421146 與 0.7002075382097097 相加可以得到 -0.7279404685324049。

$$\frac{-0.49029059656570206950741535827384}{-0.7279404685324049}$$

同時對分子與分母乘上 100000000000000000000000000000000 以展開 \frac{-0.49029059656570206950741535827384}{-0.7279404685324049}。

$$\frac{-49029059656570206950741535827384}{-72794046853240490000000000000000}$$

透過找出與消去 -8，對分式 \frac{-49029059656570206950741535827384}{-72794046853240490000000000000000} 約分至最低項。

$$\frac{6128632457071275868842691978423}{9099255856655061250000000000000}$$

因式分解

$$\frac{11 \cdot 19 \cdot 41 \cdot 16127 \cdot 12667271 \cdot 3501037691048551}{17 \cdot 5639 \cdot 75935498423 \cdot 2 ^ {13} \cdot 5 ^ {16}} = 0.673531171517601$$