Math, asked by SHABEEBSADIQ89, 4 days ago

prove that tan²A - 1/cos²A + 1 = 0 .please answer quickly. Its important. Don't spam. spams will be Reported.

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Answered by lax123man2
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Answered by Anonymous
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Prove that:

 \tan^2a -  \frac{1}{ \cos^{2}a }  + 1 = 0

SOLUTION:

 \bold{LHS =  \tan^2(a) -  \frac{1}{ \cos^{2}(a) }  + 1}

 \bold{ =  \tan^2(a) -  \frac{1}{ \cos^{2}(a) }  + 1}

 \bold{ =  \sec^2(a) -  \frac{1}{ \cos^{2}(a) }}

 \bold{ = ( \frac{1}{ \cos^{2} (a) } ) -  \frac{1}{ \cos^{2}(a)} }

 \bold{ =  \frac{1 - 1}{ \cos {}^{2}(a)} }

 \bold{ =  \frac{0}{ \cos {}^{2}(a)} }

 \bold{ = 0}

=RHS

Hence Result is Proved

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