Questions

MATH Advanced Math - Unit 20: Special Right Triangles and Circular Trigonometry

For responses that require non-keyboard symbols, the answers should be expressed in written form as shown below.

For the first two problems, use the formulas for special right triangles to find the lengths of the unknown sides in the diagram shown below..

1) k = ?

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2) w = ?

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For the next two problems, use the formulas for special right triangles to find the lengths of the unknown sides in the diagram shown below.

3) g = ?

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4) x = ?

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For the next four problems, use the formulas for special right triangles to find the lengths of the unknown sides in the diagram.

5) z = ?

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6) p = ?

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7) f = ?

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8) h = ?

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For the next six problems, find the six trigonometric ratios for the critical value (pi / 3) on the unit circle.

9) Evaluate the trigonometric ratio.

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10) Evaluate the trigonometric ratio.

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11) Evaluate the trigonometric ratio.

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12) Evaluate the trigonometric ratio.

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13) Evaluate the trigonometric ratio.

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14) Evaluate the trigonometric ratio.

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For the next six problems, find the six trigonometric ratios for the critical value (pi / 2) on the unit circle.

15) Evaluate the trigonometric ratio.

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16) Evaluate the trigonometric ratio.

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17) Evaluate the trigonometric ratio.

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18) Evaluate the trigonometric ratio.

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19) Evaluate the trigonometric ratio.

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20) Evaluate the trigonometric ratio.

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For the next six problems, find the six trigonometric ratios for the critical value [(2 times pi) / 3] on the unit circle.

21) Evaluate the trigonometric ratio.

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22) Evaluate the trigonometric ratio.

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23) Evaluate the trigonometric ratio.

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24) Evaluate the trigonometric ratio.

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25) Evaluate the trigonometric ratio.

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26) Evaluate the trigonometric ratio.

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For the next six problems, find the six trigonometric ratios for the critical value [(5 times pi) / 6] on the unit circle.

27) Evaluate the trigonometric ratio.

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28) Evaluate the trigonometric ratio.

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29) Evaluate the trigonometric ratio.

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30) Evaluate the trigonometric ratio.

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31) Evaluate the trigonometric ratio.

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32) Evaluate the trigonometric ratio.

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For the next six problems, use the limit concept to determine the six trigonometric ratios for the critical value (pi) on the unit circle.

33) Evaluate the trigonometric ratio.

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34) Evaluate the trigonometric ratio.

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35) Evaluate the trigonometric ratio.

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36) Evaluate the trigonometric ratio.

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37) Evaluate the trigonometric ratio.

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38) Evaluate the trigonometric ratio.

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For the next six problems, find the six trigonometric ratios for the critical value [(7 times pi) / 6] on the unit circle.

39) Evaluate the trigonometric ratio.

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40) Evaluate the trigonometric ratio.

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41) Evaluate the trigonometric ratio.

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42) Evaluate the trigonometric ratio.

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43) Evaluate the trigonometric ratio.

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44) Evaluate the trigonometric ratio.

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For the next six problems, find the six trigonometric ratios for the critical value [(5 times pi) / 4] on the unit circle.

45) Evaluate the trigonometric ratio.

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46) Evaluate the trigonometric ratio.

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47) Evaluate the trigonometric ratio.

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48) Evaluate the trigonometric ratio.

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49) Evaluate the trigonometric ratio.

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50) Evaluate the trigonometric ratio.

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For the next six problems, find the six trigonometric ratios for the critical value [(5 times pi) / 3] on the unit circle.

51) Evaluate the trigonometric ratio.

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52) Evaluate the trigonometric ratio.

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53) Evaluate the trigonometric ratio.

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54) Evaluate the trigonometric ratio.

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55) Evaluate the trigonometric ratio.

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56) Evaluate the trigonometric ratio.

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For the next six problems, find the six trigonometric ratios for the critical value [(7 times pi) / 4] on the unit circle.

57) Evaluate the trigonometric ratio.

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58) Evaluate the trigonometric ratio.

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59) Evaluate the trigonometric ratio.

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60) Evaluate the trigonometric ratio.

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61) Evaluate the trigonometric ratio.

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62) Evaluate the trigonometric ratio.

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For the last six problems, use the limit concept to determine the six trigonometric ratios for the critical value (2 pi) on the unit circle.

63) Evaluate the trigonometric ratio.

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64) Evaluate the trigonometric ratio.

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65) Evaluate the trigonometric ratio.

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66) Evaluate the trigonometric ratio.

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67) Evaluate the trigonometric ratio.

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68) Evaluate the trigonometric ratio.

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