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Question

What is cos7x−cos3xsin7x−2sin5x+sin3x equal to?

A
tanx
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B
cotx
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C
tan2x
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D
cot2x
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Solution

The correct option is B cotx
cos7xcos3xsin7x2sin5x+sin3x=2sin5xsin2x2(sinxcos6xsinxcos4x)

=2sin5xsin2x2sinx(2sin5xsinx)

=cosxsinx=cotx

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