Question

question 1 (8 points) saved match the following angles with their exact values. no solutions required 1. sin 45^0 2. cos 60^0 3. tan 30^0 4. tan 45^0 5. cos 30^0 6. tan 60^0 7. cos 150^0

Explanation:

Recall the unit - circle trigonometric values. $\sin45^{\circ}=\frac{1}{\sqrt{2}}$, $\cos60^{\circ}=\frac{1}{2}$, $\tan30^{\circ}=\frac{\sqrt{3}}{3}$, $\tan45^{\circ}=1$, $\cos30^{\circ}=\frac{\sqrt{3}}{2}$, $\tan60^{\circ}=\sqrt{3}$, $\cos150^{\circ}=-\frac{\sqrt{3}}{2}$.

Answer:

1. $\frac{1}{\sqrt{2}}$
2. $\frac{1}{2}$
3. $\frac{\sqrt{3}}{3}$ (not in the given list, but if we consider standard values)
4. $1$
5. $\frac{\sqrt{3}}{2}$
6. $\sqrt{3}$ (not in the given list, but if we consider standard values)
7. $-\frac{\sqrt{3}}{2}$