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Determine Which of the Following Are Trigonometric Identities cos(4x)+cos(2x)2cot(3x)=cot(x)\frac { \cos ( 4 x ) + \cos ( 2 x ) } { 2 \cot ( 3 x ) } = \cot ( x )

question 9

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Determine which of the following are trigonometric identities.
I. cos(4x) +cos(2x) 2cot(3x) =cot(x) \frac { \cos ( 4 x ) + \cos ( 2 x ) } { 2 \cot ( 3 x ) } = \cot ( x )
II. cos(4x) +cos(x) sin(3x) sin(x) =cot(2x) \frac { \cos ( 4 x ) + \cos ( x ) } { \sin ( 3 x ) - \sin ( x ) } = \cot ( 2 x )
III. cos(6x) +cos(2x) sin(4x) +sin(2x) =cot(3x) \frac { \cos ( 6 x ) + \cos ( 2 x ) } { \sin ( 4 x ) + \sin ( 2 x ) } = \cot ( 3 x )

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