Solve 2.05/sin35^circ

$$\frac { 2.05 } { \sin 35 ^ { \circ } }$$

Evaluate

$$\frac{1025000000000000}{286788218175523}\approx 3.574065931$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{2.05}{0.573576436351046}$$

Expand \frac{2.05}{0.573576436351046} by multiplying both numerator and the denominator by 1000000000000000.

$$\frac{2050000000000000}{573576436351046}$$

Reduce the fraction \frac{2050000000000000}{573576436351046} to lowest terms by extracting and canceling out 2.

$$\frac{1025000000000000}{286788218175523}$$

Factor

$$\frac{41 \cdot 2 ^ {12} \cdot 5 ^ {14}}{421 \cdot 25943 \cdot 26257841} = 3\frac{164635345473431}{286788218175523} = 3.5740659310232514$$