Solve 10/sin35^circ*sin60^circ

$$\frac { 10 } { \sin 35 ^ { \circ } } \times \sin 60 ^ { \circ }$$

Evaluate

$$\frac{2500000000000000\sqrt{3}}{286788218175523}\approx 15.098692152$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{10}{0.573576436351046} \cdot \sin(60)$$

Expand \frac{10}{0.573576436351046} by multiplying both numerator and the denominator by 1000000000000000.

$$\frac{10000000000000000}{573576436351046}\sin(60)$$

Reduce the fraction \frac{10000000000000000}{573576436351046} to lowest terms by extracting and canceling out 2.

$$\frac{5000000000000000}{286788218175523}\sin(60)$$

Get the value of \sin(60) from trigonometric values table.

$$\frac{5000000000000000}{286788218175523}\times \frac{\sqrt{3}}{2}$$

Multiply \frac{5000000000000000}{286788218175523} times \frac{\sqrt{3}}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5000000000000000\sqrt{3}}{286788218175523\times 2}$$

Cancel out 2 in both numerator and denominator.

$$\frac{2500000000000000\sqrt{3}}{286788218175523}$$