Solve 2(sin^2pi/4)

$$2 ( \sin ^ { 2 } \frac { \pi } { 4 } )$$

Evaluate

$$1$$

Solution Steps

Get the value of \sin(\frac{\pi }{4}) from trigonometric values table.

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

To raise \frac{\sqrt{2}}{2} to a power, raise both numerator and denominator to the power and then divide.

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

Express 2\times \frac{\left(\sqrt{2}\right)^{2}}{2^{2}} as a single fraction.

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

Cancel out 2 in both numerator and denominator.

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

The square of \sqrt{2} is 2.

$$\frac{2}{2}$$

Divide 2 by 2 to get 1.

$$1$$

Factor

$$1$$