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Simplify the Expression Algebraically 92cos(5π4x)\frac { 9 } { \sqrt { 2 } } \cos \left( \frac { 5 \pi } { 4 } - x \right)

Question 48

Multiple Choice

Simplify the expression algebraically.​ 92cos(5π4x) \frac { 9 } { \sqrt { 2 } } \cos \left( \frac { 5 \pi } { 4 } - x \right)


A) - 92\frac { 9 } { 2 } (cosx+sinx) ( \cos x + \sin x )
B) 92\frac { 9 } { 2 } (cosxsinx) ( \cos x - \sin x )
C) 92\frac { 9 } { 2 } (cos5x4+sin5x4) \left( \cos \frac { 5 x } { 4 } + \sin \frac { 5 x } { 4 } \right)
D) 92\frac { 9 } { 2 } (sinxcosx) ( \sin x - \cos x )
E) 92\frac { 9 } { 2 } (cos5x4sin5x4) \left( \cos \frac { 5 x } { 4 } - \sin \frac { 5 x } { 4 } \right)

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