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Prove that cos ( ( 3pi )/(2) + x) ) cos ...

Prove that `cos ( ( 3pi )/(2) + x) ) cos (2pi+x) .[ cot ((3pi )/( 2) - x) ) + cot (2pi +x) ]=1`

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The correct Answer is:
` ( ( 3-2i )( 2+3i ))/( (1+ 2i )( 2-i))`
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