1/1-sinA+1/1+sinA=2secsquare
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sharon1317:
thank you
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HEY Buddy......!! here is ur answer
We have to prove that.......
[1/(1–sinA)] + [1/(1+sinA)] = 2sec²A
On taking L.H.S. =>
=> (1+sinA+1–sinA)/(1–sinA)(1+sinA)
=> 2/1–sin²A { (a-b)(a+b) = a²–b²}
=> 2/cos²A { sin²A+cos²A = 1 => 1-sin²A=cos²A}
=> 2sec²A = R.H.S. { cosA = 1/secA }
I hope it will be helpful for you.....!!
THANK YOU ✌️✌️
We have to prove that.......
[1/(1–sinA)] + [1/(1+sinA)] = 2sec²A
On taking L.H.S. =>
=> (1+sinA+1–sinA)/(1–sinA)(1+sinA)
=> 2/1–sin²A { (a-b)(a+b) = a²–b²}
=> 2/cos²A { sin²A+cos²A = 1 => 1-sin²A=cos²A}
=> 2sec²A = R.H.S. { cosA = 1/secA }
I hope it will be helpful for you.....!!
THANK YOU ✌️✌️
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