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Polynomial

for polynomia...

Question

for polynomial x2-2x-root 5, find (alpha2-beta2)-(alpha-beta)2+(alpha+beta)2

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tan \frac{α}{2}, tan \frac{β}{2}

are the roots of

8 x^{2} - 26 x + 15 = 0

, then the value of

cos (α + β)

α = 30^{\circ}

β = 60^{\circ}

, then the value of

\frac{sin α + sec 2 α + tan (α + 15^{\circ})}{tan β + cot (\frac{β}{2} + 15^{\circ}) + tan α}

α, β, γ

are lengths of the altitudes of a triangle

A B C

Δ

\frac{Δ^{2}}{R^{2}} (\frac{1}{α^{2}} + \frac{1}{β^{2}} + \frac{1}{γ^{2}}) =

α

β

are the zeros of the quadratic polynomial

f (x) = x^{2} - 2 x + 3

, find a polynomial whose roots are
(i)

α + 2, β + 2

\frac{α - 1}{α + 1}, \frac{β - 1}{β + 1} .

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