Math, asked by sanjeevkumarsinha993, 19 days ago

what is cot 2x cot 4x - cot 6x - cot 6x cot 2X equal to?​

Answers

Answered by karunagandoori83
1

Answer:

cot is a bot cot is a bot bot

Answered by pulakmath007
0

SOLUTION

CORRECT QUESTION

TO DETERMINE

The value of

\displaystyle \sf{cot  \:  2x  \:  cot   \: 4x -cot  \:  4x \: cot  \:  6x -cot   \: 6x  \: cot \:   2x }

FORMULA TO BE IMPLEMENTED

We are aware Trigonometric formula that

\displaystyle \sf{ cot( \alpha  +  \beta ) =  \frac{ cot \:  \alpha  \: cot \beta  - 1}{cot \:  \beta  +   \: cot  \alpha }  }

EVALUATION

\displaystyle \sf{ cot  \: 6x =  cot \: (4x + 2x)}

\displaystyle \sf{ \implies  cot  \: 6x =  \frac{ cot \:  4x  \: cot 2x  - 1}{cot \:  4x  +   \: cot   \: 2x }  }

\displaystyle \sf{ \implies cot \:  4x  \:  cot  \: 6x + cot \:  2x \: cot \:  4x   =  cot \:  4x  \: cot 2x  - 1}

\displaystyle \sf{ \implies cot  \:  2x  \:  cot   \: 4x -cot  \:  4x \: cot  \:  6x -cot   \: 6x  \: cot \:   2x  = 1}

FINAL ANSWER

\displaystyle \sf{  cot  \:  2x  \:  cot   \: 4x -cot  \:  4x \: cot  \:  6x -cot   \: 6x  \: cot \:   2x  = 1}

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