Solve sin(85)cos(20)/tan(50)

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

Evaluate

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

Solution Steps

Evaluate trigonometric functions in the problem

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

Multiply 0.9961946980917455 and 0.9396926207859084 to get 0.9361168066628591105339767591122.

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

Expand \frac{0.9361168066628591105339767591122}{1.19175359259421} by multiplying both numerator and the denominator by 10000000000000000000000000000000.

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

Reduce the fraction \frac{9361168066628591105339767591122}{11917535925942100000000000000000} to lowest terms by extracting and canceling out 2.

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

Factor

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