Solve 2*0.03/cos(45)

$$\frac{ 2 \times 0.03 }{ \cos ( 45 ) }$$

Evaluate

$$\frac{3\sqrt{2}}{50}\approx 0.084852814$$

Solution Steps

Multiply 2 and 0.03 to get 0.06.

$$\frac{0.06}{\cos(45)}$$

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

$$\frac{0.06}{\frac{\sqrt{2}}{2}}$$

Divide 0.06 by \frac{\sqrt{2}}{2} by multiplying 0.06 by the reciprocal of \frac{\sqrt{2}}{2}.

$$\frac{0.06\times 2}{\sqrt{2}}$$

Rationalize the denominator of \frac{0.06\times 2}{\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.

$$\frac{0.06\times 2\sqrt{2}}{\left(\sqrt{2}\right)^{2}}$$

The square of \sqrt{2} is 2.

$$\frac{0.06\times 2\sqrt{2}}{2}$$

Multiply 0.06 and 2 to get 0.12.

$$\frac{0.12\sqrt{2}}{2}$$

Divide 0.12\sqrt{2} by 2 to get 0.06\sqrt{2}.

$$0.06\sqrt{2}$$