Math, asked by Neelamdamke478, 2 months ago

1 + secA​/secA=sin2A/1-cosA​

Answers

Answered by sabuj2005
1

Answer:

sorry, butvis the question correct,, I think it should be cos²A in the last portion.

then sin²A +cos² A = 1 will come

isn't it?

make brainlist pls

Answered by Anonymous
46

Question:-

 \frac{1 + sec \: a}{sec \: a}  =  \frac{sin^{2}a}{1 - cos \: a}

Answer:-

  • Let us solve LHS part , we can write a LHS as

 \large➦ \frac{1 +  \sec \: A}{ \sec \: A}   =  \frac{ 1 + \frac{1 }{ \cos \:A  } }{ \frac{1}{ \cos \:A } }

 \large ➦ \frac{ \frac{ \cos A \:  + 1}{ \cos \: A} }{ \frac{1}{cos \: A} }

➦ \:  \frac{ \cos \:A \:  + 1 }{ \cos \: A}  =  \frac{ \cos \: A }{1}

➦1 +  \cos A

➦1 +  \cos \: A \times  \frac{1 -  \cos A}{1 -  \cos \: A}

➦ \frac{(1)^2 -  (\cos)^2}{1 -  \cos \:A }

➦\frac{1 -  \cos^{2} \:A }{1 -  \cos \: A}

➦ \frac{ \sin^{2}A}{1 -  \cos \: A}

RHS  = LHS

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