cos
3
A is equal to:
- A4
cos3A−3cosA
- B3
cos3A+3cosA
- C4
cos3A+3cosA
- D3
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
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