求解 sin(85)cos(20)/tan(50)

$$\frac{ \sin ( 85 ) \cos ( 20 ) }{ \tan ( 50 ) }$$

求值

$$\frac{4680584033314295552669883795561}{5958767962971050000000000000000}\approx 0.785495267$$

求解步骤

对题中的三角函数求值

$$\frac{0.9961946980917455 \cdot 0.9396926207859084}{1.19175359259421}$$

将 0.9961946980917455 与 0.9396926207859084 相乘，得到 0.9361168066628591105339767591122。

$$\frac{0.9361168066628591105339767591122}{1.19175359259421}$$

将分子和分母同时乘以 10000000000000000000000000000000 以展开 \frac{0.9361168066628591105339767591122}{1.19175359259421}。

$$\frac{9361168066628591105339767591122}{11917535925942100000000000000000}$$

通过求根和消去 2，将分数 \frac{9361168066628591105339767591122}{11917535925942100000000000000000} 降低为最简分数。

$$\frac{4680584033314295552669883795561}{5958767962971050000000000000000}$$

因式分解

$$\frac{3 \cdot 271 \cdot 499 \cdot 587 \cdot 12503 \cdot 1178393 \cdot 1334032681411}{103 \cdot 1157042322907 \cdot 2 ^ {16} \cdot 5 ^ {17}} = 0.785495267209658$$