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Prove the following Identity ???? ?+???? …

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Prove the following Identity ???? ?+???? + ?+???? ???? = ????? 3

Posted by C Akhilesh 4 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 4 years, 5 months ago

Given cosA/(1+sinA) +(1+sinA)/cosA

On taking the LCM we get,

={cos²A +(1+sinA)²}/cosA.(1+sinA)

Combining the like terms and adding and also we know that,use sin²A+cos²A =1

=(1+1+2sinA)/cosA(1+sinA)

=2(1+sinA)/cosA(1+sinA)

=2/cosA

=2secA

0Thank You

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