A quadratic equation whose roots are tan22 102 and cot 22102 is

α=tan22102=2-1 β=cot22102=2+1 α+β=2, αβ=1 req. eqb. is x2-(α+β)x+αβ=0 x2-22 x+1=0

A quadratic equation whose roots are tan22 102 and cot 22102 is

α=tan22102=2-1 β=cot22102=2+1 α+β=2, αβ=1 req. eqb. is x2-(α+β)x+αβ=0 x2-22 x+1=0

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A quadratic equation whose roots are $\tan 22 \frac{1^{0}}{2} a n d c o t 22 \frac{1^{0}}{2} i s$

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$x^{2} + 2 \sqrt{2} x - 1 = 0$

$2 x^{2} - 2 \sqrt{2} x + 1 = 0$

$x^{2} - 2 \sqrt{2} x + 1 = 0$

$x^{2} - 2 \sqrt{2} x - 1 = 0$

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$α = \tan 22 \frac{1^{0}}{2} = \sqrt{2} - 1 β = \cot 22 \frac{1^{0}}{2} = \sqrt{2} + 1 α + β = 2, αβ = 1 req . eqb . is x^{2} - (α + β) x + αβ = 0 x^{2} - 2 \sqrt{2} x + 1 = 0$

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A quadratic equation whose roots are tan22 102 and cot 22102 is

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A quadratic equation whose roots are $\tan 22 \frac{1^{0}}{2} a n d c o t 22 \frac{1^{0}}{2} i s$