MATH Advanced Math  - Unit 24: Double-Angle and Half-Angle Identities; Law of Sines and Law of Cosines
Use any identity or combination of identities from the “List of Fundamental Trigonometry Identities”, the “Double-Angle Identities”, the “Half-Angle Identities”, or the Miscellaneous Double-Angle Identities” to solve the following problems. State the letter of the correct answer.

1) Find the exact value of:

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2) Find the exact value of:

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3) Find the exact value of:

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Refer to the information given below to solve the next 13 problems. State the letter of the correct answer.

4) What is the letter of the correct identity for #4?

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5) What is the letter of the correct identity for #5?

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6) What is the letter of the correct identity for #6?

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7) What is the letter of the correct identity for #7?

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8) What is the letter of the correct identity for #8?

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9) What is the letter of the correct identity for #9?

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10) What is the letter of the correct identity for #10?

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11) What is the letter of the correct identity for #11?

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12) What is the letter of the correct identity for #12?

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13) What is the letter of the correct identity for #13?

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14) What is the letter of the correct identity for #14?

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15) What is the letter of the correct identity for #15?

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16) What is the letter of the correct identity for #16?

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Refer to the information given below to solve the next 21 problems. State the letter of the correct answer.

17) What is the letter of the correct identity for #17?

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18) What is the letter of the correct identity for #18?

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19) What is the letter of the correct identity for #19?

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20) What is the letter of the correct identity for #20

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21) What is the letter of the correct identity for #21?

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22) What is the letter of the correct identity for #22?

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23) What is the letter of the correct identity for #23?

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24) What is the letter of the correct identity for #24?

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25) What is the letter of the correct identity for #25?

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26) What is the letter of the correct identity for #26?

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27) What is the letter of the correct identity for #27?

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28) What is the letter of the correct identity for #28?

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29) What is the letter of the correct identity for #29?

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30) What is the letter of the correct identity for #30?

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31) What is the letter of the correct identity for #31?

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32) What is the letter of the correct identity for #32?

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33) What is the letter of the correct identity for #33?

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34) What is the letter of the correct identity for #34?

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35) What is the letter of the correct identity for #35?

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36) What is the letter of the correct identity for #36?

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37) What is the letter of the correct identity for #37?

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Use the Law of Sines to find the unknown values in the next three problems. (Note: It helps to draw and label a triangle for each description.)

38) a = ?

39) Find the measure of the angle.

40) c = ?

Use the Law of Sines to find the unknown values in the next three problems. (Note: It helps to draw and label a triangle for each description.)

41) Find the measure of the angle.

42) Find the measure of the angle.

43) a = ?

Use the Law of Sines to find the solution to the following problems.

A steel I-beam is driven into the ground to support a pedestrian walk way. The beam sticks out of the ground 55 feet and forms a 33 degree angle to the ground. A second I-beam is to be placed 73 feet away from the first beam and the two beams will meet at the top. If the second beam is to form a 48 degree angle with the ground, how many feet of the second beam will be sticking out of the ground?

44) What is the correct Law of Sines proportion for this problem? State the letter of the correct answer.

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45) How many feet of the second beam will be sticking out of the ground?

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