Solve 0*1/2left(1/sin(45^circ)-1right)

$$\frac{ 0 \cdot 1 }{ 2 } \left( \frac{ 1 }{ \sin ( 45 ^ { \circ } ) } -1 \right)$$

Evaluate

$$0$$

Solution Steps

Multiply 0 and 1 to get 0.

$$\frac{0}{2}\left(\frac{1}{\sin(45)}-1\right)$$

Zero divided by any non-zero number gives zero.

$$0\left(\frac{1}{\sin(45)}-1\right)$$

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

$$0\left(\frac{1}{\frac{\sqrt{2}}{2}}-1\right)$$

Divide 1 by \frac{\sqrt{2}}{2} by multiplying 1 by the reciprocal of \frac{\sqrt{2}}{2}.

$$0\left(\frac{2}{\sqrt{2}}-1\right)$$

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

$$0\left(\frac{2\sqrt{2}}{\left(\sqrt{2}\right)^{2}}-1\right)$$

The square of \sqrt{2} is 2.

$$0\left(\frac{2\sqrt{2}}{2}-1\right)$$

Cancel out 2 and 2.

$$0\left(\sqrt{2}-1\right)$$

Anything times zero gives zero.

$$0$$