QuestionMatch each trigonometric function with its value:
sin 60° = ?, cos 45° = ?, tan 45° = ?, sec 30° = ?, csc 30° = ?, cot 60° = ?
Choices: $\frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2}, \frac{2 \sqrt{3}}{3}, 1, \frac{\sqrt{3}}{2}, \frac{\sqrt{3}}{3}, \frac{\sqrt{3}}{2}$

Studdy Solution
The last function is $\cot60^{\circ}$. The cotangent function is the reciprocal of the tangent function. So, $\cot60^{\circ}$ is the reciprocal of $\tan60^{\circ}$. The value of $\tan60^{\circ}$ is $\sqrt{3}$, so $\cot60^{\circ}$ is $\frac{1}{\sqrt{3}}$, which simplifies to $\frac{\sqrt{3}}{3}$.
So, the final matches are$$\begin{array}{l} \sin60^{\circ}= \frac{\sqrt{3}}{2} \\ \cos45^{\circ}= \frac{\sqrt{2}}{2} \\ \tan45^{\circ}=1 \\ \sec30^{\circ}= \frac{2 \sqrt{3}}{3} \\ \csc30^{\circ}=2 \\ \cot60^{\circ}= \frac{\sqrt{3}}{3} \end{array}$$