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Rewrite with Only Sin X and Cos X sin⁡3x+cos⁡3x\sin 3 x + \cos 3 x

Question 240

Multiple Choice

Rewrite with only sin x and cos x.
- sin⁡3x+cos⁡3x\sin 3 x + \cos 3 x


A) 2cos⁡2xsin⁡x+sin⁡x−2sin⁡3x+cos⁡x−4cos⁡xsin⁡2x2 \cos ^ { 2 } x \sin x + \sin x - 2 \sin ^ { 3 } x + \cos x - 4 \cos x \sin ^ { 2 } x
B) 2sin⁡xcos⁡2x+cos⁡x+1−sin⁡2x+cos⁡x2 \sin x \cos ^ { 2 } x + \cos x + 1 - \sin ^ { 2 } x + \cos x
C) sin⁡xcos⁡2x−sin⁡3x+cos⁡3x−sin⁡2xcos⁡x\sin x \cos ^ { 2 } x - \sin ^ { 3 } x + \cos ^ { 3 } x - \sin ^ { 2 } x \cos x
D) 2sin⁡xcos⁡2x+sin⁡3x−cos⁡3x−2sin⁡2xcos⁡x2 \sin x \cos ^ { 2 } x + \sin ^ { 3 } x - \cos ^ { 3 } x - 2 \sin ^ { 2 } x \cos x

Correct Answer:

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