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Prove that cot 2x cot x- cot 3x cot ...

Prove that cot 2x cot x- cot 3x cot 2x - cot 3x cot x=1

Text Solution

Verified by Experts

We have
cot 3x = cot (2x +x)
`hArr ` cot 3x = `(cot 2x cot x-1)/( cot 2x + cot x) `
`hArr ` cot 3x cot 2x + cot 3x cot x = cot 2x cot x-1
`hArr ` cot 2x cot x- cot 3x cot 2x - cot 3x cot x=1
Hence cot 2x cot x - cot 3x cot 2x -cot 3x cot x=1
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