Unit Circle Review

Match

Match the following.

Let (-5, 2) be a point on the terminal side of θ. Find the exact values of cos θ, csc θ, and tan θ.

• $$\cos\theta$$

• $$\csc\theta$$

• $$\tan\theta$$

• $$\frac{-5\sqrt[]{29}}{29}$$

• $$\frac{\sqrt[]{29}}{2}$$

• $$-\frac{2}{5}$$

Match

Match the following. Let θ be an angle in quadrant III such that $$\sin\theta=-\frac{1}{4}$$

• $$\sec\theta$$

• $$\tan\theta$$

• $$\cot\theta$$

• $$\frac{-4\sqrt[]{15}}{15}$$

• $$\frac{\sqrt[]{15}}{15}$$

• $$\sqrt[]{15}$$

Match

Match the following. Let θ be an angle in quadrant IV such that $$\tan\theta=-\frac{5}{12}$$ . Find the exact values of sin θ, cos θ and csc θ

• $$\cos\theta$$

• $$\csc\theta$$

• $$\sin\theta$$

• $$\frac{12}{13}$$

• $$-\frac{13}{5}$$

• $$-\frac{5}{13}$$

Match

Match the following. Let θ be an angle such that $$\sec\theta=-\frac{5}{4}$$ and $$\tan\theta>0$$ . Find the exact values of cos θ, cot θ and csc θ

• $$\cot\theta$$

• $$\csc\theta$$

• $$\cos\theta$$

• $$\frac{4}{3}$$

• $$-\frac{5}{3}$$

• $$-\frac{4}{5}$$

Drag and Drop

sin θ > 0 and cot θ > 0

Placeholder

csc θ > 0 and cos θ < 0 ​ ​

Placeholder

Drag these tiles and drop them in the correct blank above

Quadrant I

Quadrant II

Quadrant III

Quadrant IV

Math Response

Suppose that $$\left(x,-\frac{9}{41}\right)$$ is a point in quadrant III lying on the unit circle. Find . Write the exact value, not a decimal approximation.

Type answer here

Correct Answer: -\frac{40}{41}

Deg^°

Rad

Match

Match the following. Suppose that θ is an angle in standard position whose terminal side intersects the unit circle at $$\left(\frac{35}{37,}-\frac{12}{37}\right)$$ . Find the exact values of sec θ, tan θ, cos θ

• $$\sec\theta$$

• $$\tan\theta$$

• $$\cos\theta$$

• $$\frac{37}{35}$$

• $$-\frac{12}{35}$$

• $$\frac{35}{37}$$

Multiple Choice

Find the terminal point on the unit circle determined by $$\frac{7\pi}{6}$$

Use exact values, not decimal approximations.

• $$\left(-\frac{\sqrt[]{3}}{2},-\frac{1}{2}\right)$$

• $$\left(\frac{\sqrt[]{3}}{2},-\frac{1}{2}\right)$$

• $$\left(-\frac{\sqrt[]{3}}{2},\frac{1}{2}\right)$$

• $$\left(\frac{\sqrt[]{3}}{2},\frac{1}{2}\right)$$

Match

Match the following.

• $$\sec\left(-45\degree\right)$$

• $$\tan\left(-45\degree\right)$$

• $$\cos\left(\frac{17\pi}{6}\right)$$

• $$\csc\left(-630\degree\right)$$

• $$\sqrt[]{2}$$

• $$-1$$

• $$-\frac{\sqrt[]{3}}{2}$$

• $$1$$