Math, asked by PrateekKishore3558, 9 months ago

simplify: (sec2Q-1)(1-cosec2Q)

Answers

Answered by vibusa
3

Step-by-step explanation:

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Answered by anu24239
3

ANSWER

( {sec}^{2}  \alpha  - 1)( {cosec}^{2}  \alpha  - 1) \\  \\ ( \frac{1}{ {cos}^{2}  \alpha }  - 1)( \frac{1}{ {sin}^{2} \alpha   } - 1 ) \\  \\  ( \frac{1 -  {cos}^{2}  \alpha }{ {cos}^{2} \alpha  } )( \frac{1 -  {sin}^{2} \alpha  }{ {sin}^{2} \alpha  } ) \\  \\  \frac{ {sin}^{2} \alpha  }{ {cos}^{2}  \alpha }  \times  \frac{ {cos}^{2} \alpha  }{ {sin}^{2} \alpha  }  \\  \\  = 1

FORMULA USED....

1 -  {sin}^{2}  \alpha  =  {cos}^{2} \alpha  \\  \\ 1 -  { \cos }^{2}   \alpha  =  { \sin }^{2}  \alpha

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