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Simplify the Expression Algebraically 5sin⁡(π6+x)5 \sin \left( \frac { \pi } { 6 } + x \right)

Question 38

Multiple Choice

Simplify the expression algebraically. 5sin⁡(π6+x) 5 \sin \left( \frac { \pi } { 6 } + x \right) ​


A) 52\frac { 5 } { 2 } (cos⁡x−3sin⁡x) ( \cos x - \sqrt { 3 } \sin x )
B) 52\frac { 5 } { 2 } (cos⁡x+3sin⁡x) ( \cos x + \sqrt { 3 } \sin x )
C) 52\frac { 5 } { 2 } (sin⁡x−3cos⁡x) ( \sin x - \sqrt { 3 } \cos x )
D) 52\frac { 5 } { 2 } (cos⁡x+sin⁡x) ( \cos x + \sin x )
E) 52\frac { 5 } { 2 } (sin⁡x+3cos⁡x) ( \sin x + \sqrt { 3 } \cos x )

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