Math, asked by shobaidurima5ani, 1 year ago

Prove that tan 5x - tan 3x - tan 2x = tan 5x tan 3x tan 2x

Answers

Answered by ARoy

152

5x=3x+2x
or, tan5x=tan(3x+2x)
or, tan5x=(tan3x+tan2x)/(1-tan3xtan2x)
or, tan5x(1-tan3xtan2x)=tan3x+tan2x
or, tan5x-tan5xtan3xtan2x=tan3x+tan2x
or, tan5x-tan3x-tan2x=tan5xtan3xtan2x (Proved)

Answered by rahul38045

Answer:

5x=3x+2x

apply tan on both sides

now

tan5x=tan(3x+2x)

tan5x=tan3x+tan2x/1-tan3xtan2x

tan5x (1-tan3xtan2x)=tan3x+tan2x

tan5x-tan5xtan3xtan2x=tan3x+tan2x

tan5x-tan3x-tan2x=tan5xtan3xtan2x

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