Daily Challenge 2: Sum and Difference Identities

$$\frac{\sqrt{6}+\sqrt{2}}{4}$$

$$\frac{\sqrt{6}-\sqrt{2}}{4}$$

$$-\frac{\sqrt{2}+\sqrt{6}}{4}$$

$$\frac{\sqrt{2}-\sqrt{6}}{4}$$

$$\frac{\sqrt{6}+\sqrt{2}}{4}$$

$$\frac{\sqrt{6}-\sqrt{2}}{4}$$

$$-\frac{\sqrt{2}+\sqrt{6}}{4}$$

$$\frac{\sqrt{2}-\sqrt{6}}{4}$$

the same x- and y- coordinates

the same x-coordinate by not the same y-coordinate

the same y-coordinate but not the same x-coordinate

do not have the same x- and y- coordinates

$$\frac{\sqrt{6}+\sqrt{2}}{4}$$

$$\frac{\sqrt{6}-\sqrt{2}}{4}$$

$$-\frac{\sqrt{2}+\sqrt{6}}{4}$$

$$\frac{\sqrt{2}-\sqrt{6}}{4}$$

$$\frac{\sqrt{6}+\sqrt{2}}{4}$$

$$\frac{\sqrt{6}-\sqrt{2}}{4}$$

$$-\frac{\sqrt{2}+\sqrt{6}}{4}$$

$$\frac{\sqrt{2}-\sqrt{6}}{4}$$

with respect to the x-axis

with respect to the y-axis

with respect to the origin

$$\frac{\tan30\degree\ +\tan45\degree}{1-\tan30\degree\tan45\degree}$$

$$\frac{\tan30\degree+\tan45\degree}{\tan30\degree\tan45\degree-1}$$

$$\frac{\tan30\degree-\tan45\degree}{1+\tan30\degree\tan45\degree}$$

$$\frac{\tan45\degree-\tan30\degree}{1+\tan45\degree\tan30\degree}$$

$$2+\sqrt{3}$$

$$2-\sqrt{3}$$

$$-\sqrt{3}-2$$

$$\sqrt{3}-2$$