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Problem
Problem
If
sin
θ
+
cos
θ
=
a
\sin \theta + \cos \theta = a
sin
θ
+
cos
θ
=
a
and
sin
3
θ
+
cos
3
θ
=
b
\sin^3 \theta + \cos^3 \theta = b
sin
3
θ
+
cos
3
θ
=
b
, then we get
λ
a
3
+
μ
b
+
ν
a
=
0
\lambda a^3 + \mu b + \nu a = 0
λ
a
3
+
μ
b
+
ν
a
=
0
when
λ
,
μ
,
ν
\lambda, \mu, \nu
λ
,
μ
,
ν
are independent of
θ
\theta
θ
, then the value of
λ
3
+
μ
3
+
ν
3
\lambda^3 + \mu^3 + \nu^3
λ
3
+
μ
3
+
ν
3
is a. -6 b. -18 c. -36 d. -98
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