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Find the value of cos 120° cos 240° cos 180° cos 60°.

A-1/8

B1/2

C1/4

D1/16

Answer:

A. -1/8

Read Explanation:

1. Find the values of each cosine term:

  • cos 120° = -1/2

  • cos 240° = -1/2

  • cos 180° = -1

  • cos 60° = 1/2

2. Substitute the values into the expression:

cos 120° cos 240° cos 180° cos 60° = (-1/2) (-1/2) (-1) * (1/2)

3. Calculate the result:

= 1/16 * (-1)

= -1/16

Therefore, the value of cos 120° cos 240° cos 180° cos 60° is -1/16.


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