Solution of a trigonometric equation involving multiples of an angle
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I have to solve the following trigonometric equation, in order to compute a explicit form for the computation of eigenvalues of a tri-diagonal matrix, that have the first diagonal element different from the others.
$$sin((n+1)theta) + 2sin(ntheta) = 0,;;theta neq mpi,;minmathbb{Z}$$
Any ideas or reference?
trigonometry
edited Nov 17 at 10:36
egreg
173k1383198
asked Nov 17 at 10:29
math_lover
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up vote
1
down vote
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I have to solve the following trigonometric equation, in order to compute a explicit form for the computation of eigenvalues of a tri-diagonal matrix, that have the first diagonal element different from the others.
$$sin((n+1)theta) + 2sin(ntheta) = 0,;;theta neq mpi,;minmathbb{Z}$$
Any ideas or reference?
trigonometry
edited Nov 17 at 10:36
egreg
173k1383198
asked Nov 17 at 10:29
math_lover
9010
add a comment |
up vote
1
down vote
favorite
up vote
1
down vote
favorite
I have to solve the following trigonometric equation, in order to compute a explicit form for the computation of eigenvalues of a tri-diagonal matrix, that have the first diagonal element different from the others.
$$sin((n+1)theta) + 2sin(ntheta) = 0,;;theta neq mpi,;minmathbb{Z}$$
Any ideas or reference?
trigonometry
edited Nov 17 at 10:36
egreg
173k1383198
asked Nov 17 at 10:29
math_lover
9010
I have to solve the following trigonometric equation, in order to compute a explicit form for the computation of eigenvalues of a tri-diagonal matrix, that have the first diagonal element different from the others.
$$sin((n+1)theta) + 2sin(ntheta) = 0,;;theta neq mpi,;minmathbb{Z}$$
Any ideas or reference?
trigonometry
trigonometry
edited Nov 17 at 10:36
egreg
173k1383198
asked Nov 17 at 10:29
math_lover
9010
edited Nov 17 at 10:36
egreg
173k1383198
asked Nov 17 at 10:29
math_lover
9010
edited Nov 17 at 10:36
egreg
173k1383198
edited Nov 17 at 10:36
egreg
173k1383198
edited Nov 17 at 10:36
egreg
173k1383198
173k1383198
asked Nov 17 at 10:29
math_lover
9010
asked Nov 17 at 10:29
math_lover
9010
asked Nov 17 at 10:29
math_lover
9010
9010
add a comment |
add a comment |
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