IIT JEE , AIEEE Forum - Mathematics , Algebra - If a+ib=tan^ -1 z , z=x+iy , then x^2+ y^2 + 2xcot 2a is:

Discussion Response Post to: If a+ib=tan^ -1 z , z=x+iy , then x^2+ y^2 + 2xcot 2a is:

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4 May 2008 16:36:55 IST

Subject: Re:If a+ib=tan^ -1 z , z=x+iy , then x^2+ y^2 + 2xcot 2a is:

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basaa (17)

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let a+ib=tan^-1(x+iy)

a-ib=tan^-(x-iy)

-----------------------------(add)

2a = tan^-(x+iy)+tan ^-1(x-iy)

2a = tan^-1(2x/1-(x²+y²))

tan2a = 2x/1-(x²+y² ) there for x²+y²+2xcota =1

this reply: 17 points (with 3 Olaaa!! Perrrfect answer.

in 4 votes ) [?]

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