Solve sin^2pi/8

$$\sin ^ { 2 } \frac { \pi } { 8 }$$

Evaluate

$$-\frac{\sqrt{2}}{4}+\frac{1}{2}\approx 0.146446609$$

Solution Steps

Get the value of \sin(\frac{\pi }{8}) from trigonometric values table.

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

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

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

Calculate \sqrt{2-\sqrt{2}} to the power of 2 and get 2-\sqrt{2}.

$$\frac{2-\sqrt{2}}{2^{2}}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{2-\sqrt{2}}{4}$$