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Inverse Function

7. Let alpha ...

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7. Let alpha and beta satisfy both the equation cosx+acos+b=0 sinx+pcosx+q=0 then find the relationship between a,b,p,q

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x = α, β

satisfies both the equation

{cos}^{2} x + a cos x + b = 0

{sin}^{2} x + p sin x + q = 0

then relation between a,b,p and q is :

x = α, β

satisfies both the equations

c o s^{2} x + α cos x + b = 0

sin^{2} x + p sin x + q = 0

then the relation between

α, b, p

q

p, q

be integers and let

α, β

be the roots of the equation,

x^{2} - x - 1 = 0,

α \neq β .

n = 0, 1, 2, . . . .,

a_{n} = p α^{n} + q β^{n} .

a

b

are rational numbers and

a + b \sqrt{5} = 0.

a = 0 = b .

a_{4} = 28,

p + 2 q =

p, q

be integers and let

α, β

be the roots of the equation,

x^{2} - x - 1 = 0

α \neq β

n = 0, 1, 2, . . .

a_{n} = p α^{n} + q β^{n}

a

b

are rational numbers and

a + b \sqrt{5} = 0

a = 0 = b

.

a_{12} =

p, q

be integers and let

α, β

be the roots of the equation,

x^{2} - x - 1 = 0,

α \neq β .

n = 0, 1, 2, . . . .,

a_{n} = p α^{n} + q β^{n} .

a

b

are rational numbers and

a + b \sqrt{5} = 0.

a = 0 = b .

a_{4} = 28,

p + 2 q =

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