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Problem
Problem
Let
x
=
sin
45
∘
x = \sin 45^\circ
x
=
sin
4
5
∘
,
y
=
cos
60
∘
y = \cos 60^\circ
y
=
cos
6
0
∘
and
z
=
tan
30
∘
z = \tan 30^\circ
z
=
tan
3
0
∘
. Select the correct value of the expression
(
x
y
+
1
z
)
2
\left(\frac{x}{y} + \frac{1}{z}\right)^2
(
y
x
+
z
1
)
2
. a. A
(
5
6
+
2
3
)
\left(\frac{5}{6} + \sqrt{\frac{2}{3}}\right)
(
6
5
+
3
2
)
b. B
(
5
6
−
2
3
)
\left(\frac{5}{6} - \sqrt{\frac{2}{3}}\right)
(
6
5
−
3
2
)
c. C
(
5
+
2
6
)
(5 + 2\sqrt{6})
(
5
+
2
6
)
d. D
(
5
−
2
6
)
(5 - 2\sqrt{6})
(
5
−
2
6
)
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