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Question

tan5x−tan3x−tan2x=

A
tan5xtan3xtan2x
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B
sin5xsin3xsin2x
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C
cos5xcos3xcos2x
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D
sec5xsec3xsec2x
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Solution

The correct option is A tan5xtan3xtan2x
We've,
tan(3x+2x)=tan5x

or, tan3x+tan2x1tan3x.tan2x=tan5x

or, tan3x+tan2x=tan5xtan2x.tan3x.tan5x

or, tan5xtan3xtan2x=tan2x.tan3x.tan5x.

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