Prove that : 1-cosA/1+cosA =( cotA - cosecA) square
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Given :
To Prove:
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⠀⠀⠀⠀
Here ,
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⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀
⠀⠀⠀⠀
▪︎ Multiplying both and numerator and denominator by ( 1 - cos A ) .
⠀⠀⠀⠀
As We know that ,
- (a+b)(a-b) = (a - b)²
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⠀⠀⠀⠀
As , We know that ,
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Or ,
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As, We know that,
⠀⠀⠀⠀
As , We know that ,
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Or,
⠀⠀⠀⠀
Therefore,
⠀⠀⠀⠀
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⠀⠀⠀⠀
⠀⠀⠀⠀
Therefore,
⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀
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