Math, asked by rishikeshgupta0302, 6 months ago

find the value of tanA\1+secA-tanA\1-secA​

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Answered by sinhatejashwi18
1

Answer:

Use the Attached file for solution

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Answered by sandy1816
0

Answer:

 \frac{tanA}{1 + secA}  -  \frac{tanA}{1 - secA}  \\  \\  = tanA( \frac{1}{1 + secA  }  -  \frac{1}{1 - secA} ) \\  \\  = tanA( \frac{1 - secA - 1 - secA}{1 -  {sec}^{2} A}  )\\  \\  = tanA( \frac{ - 2secA}{ -  {tan}^{2}A } ) \\  \\  = 2 \frac{secA}{tanA}  \\  \\  =  2 \:  \frac{1}{cosA} . \frac{cosA}{sinA}  \\  \\  = 2cosecA

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