Solve 2*sin(45)div3*tan(30)=

$$2 \times \sin ( 45 ) \div 3 \times \tan ( 30 ) =$$

Evaluate

$$\frac{\sqrt{6}}{9}\approx 0.272165527$$

Solution Steps

Get the value of \sin(45) from trigonometric values table.

$$\frac{2\times \frac{\sqrt{2}}{2}}{3}\tan(30)$$

Cancel out 2 and 2.

$$\frac{\sqrt{2}}{3}\tan(30)$$

Get the value of \tan(30) from trigonometric values table.

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

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

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

To multiply \sqrt{2} and \sqrt{3}, multiply the numbers under the square root.

$$\frac{\sqrt{6}}{3\times 3}$$

Multiply 3 and 3 to get 9.

$$\frac{\sqrt{6}}{9}$$