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Mathematics
Mathematics
Problem
If
cos
−
1
x
a
−
sin
−
1
y
b
=
θ
\cos^{-1}\frac{x}{a} - \sin^{-1}\frac{y}{b} = \theta
cos
−
1
a
x
−
sin
−
1
b
y
=
θ
(
a
,
b
,
≠
0
a, b, \neq 0
a
,
b
,
=
0
), then the maximum value of
b
2
x
2
+
a
2
y
2
+
2
a
b
x
y
sin
θ
b^2x^2 + a^2y^2 + 2abxy \sin \theta
b
2
x
2
+
a
2
y
2
+
2
ab
x
y
sin
θ
equals a.
a
b
ab
ab
b.
(
a
+
b
)
2
(a+b)^2
(
a
+
b
)
2
c.
2
(
a
+
b
)
2
2(a+b)^2
2
(
a
+
b
)
2
d.
a
2
b
2
a^2b^2
a
2
b
2
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