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cos
3
A is equal to:

  1. A
    4
    cos3A−3cosA
  2. B
    3
    cos3A+3cosA
  3. C
    4
    cos3A+3cosA
  4. D
    3
    cos3A−3cosA

Solution & Step-by-step Explanation

We know the standard triple-angle formula for cosine:
cos3A=4cos
3
A−3cosA
Rearranging the terms to express it in terms of cos
3
A:

4cos
3
A=cos3A+3cosA
cos
3
A=
4
cos3A+3cosA

Practice this question

Try it yourself before checking the explanation above.

cos
3
A is equal to:
A
4
cos3A−3cosA
B
3
cos3A+3cosA
C
4
cos3A+3cosA
D
3
cos3A−3cosA

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