Coterminal, Trig, and Unit Circle Practice

Which angle is not coterminal to the others?

• $72\degree$

• $792\degree$

• $-288\degree$

• $252\degree$

Find the sine, cosine, and tangent for the following point on the unit circle. 

(Hint: What is the relationship between coordinates on the unit circle and sine, cosine, and tangent?)

 $\left(\frac{12}{13},\ \frac{5}{13}\right)$  

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Find the sine, cosine, and tangent for the following point on the unit circle. 

(Hint: What is the relationship between coordinates on the unit circle and sine, cosine, and tangent?)

 $\left(\frac{7}{25},\ \frac{14}{25}\right)$  

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Find the sine, cosine, and tangent for the following point on the unit circle. 

(Hint: What is the relationship between coordinates on the unit circle and sine, cosine, and tangent?)

 $\left(\frac{\sqrt{33}}{7},\ \frac{4}{7}\right)$  

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Find the sine, cosine, and tangent for the following point on the unit circle. 

(Hint: What is the relationship between coordinates on the unit circle and sine, cosine, and tangent?)

 $\left(\frac{2}{9},\ \frac{\sqrt{77}}{9}\right)$  

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Find the sine if $\cos\theta=\frac{9}{41}$  .

Just fill in the blank for your answer

 $\sin\theta=$  ________

Find the tangent if $\cos\theta=\frac{11}{60}$  .

Just fill in the blank for your answer, rounding the side length to the nearest whole number.

 $\tan\theta=$  ________

Find the cosine if $\tan\theta=\frac{\sqrt{91}}{3}$  .

Just fill in the blank for your answer.

 $\cos\theta=$  ________

Fill in the blanks:
 $\sin30=$  _____

 $\cos30=$  _____

 $\tan30=$  _____
 $\sin60=$  _____
 $\cos60=$  _____
 $\tan60=$  _____
Do you notice any patterns?

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