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Mathematics
Mathematics
Problem
If
tan
α
=
b
a
\tan \alpha = \frac{b}{a}
tan
α
=
a
b
,
a
>
b
>
0
a > b > 0
a
>
b
>
0
and if
0
<
α
<
π
4
0 < \alpha < \frac{\pi}{4}
0
<
α
<
4
π
, then
a
+
b
a
−
b
+
a
−
b
a
+
b
\sqrt{\frac{a+b}{a-b}} + \sqrt{\frac{a-b}{a+b}}
a
−
b
a
+
b
+
a
+
b
a
−
b
is equal to (a)
2
sin
α
cos
2
α
\frac{2 \sin \alpha}{\sqrt{\cos 2\alpha}}
c
o
s
2
α
2
s
i
n
α
(b)
2
cos
α
cos
2
α
\frac{2 \cos \alpha}{\sqrt{\cos 2\alpha}}
c
o
s
2
α
2
c
o
s
α
(c)
2
sin
α
sin
2
α
\frac{2 \sin \alpha}{\sqrt{\sin 2\alpha}}
s
i
n
2
α
2
s
i
n
α
(d)
2
cos
α
sin
2
α
\frac{2 \cos \alpha}{\sqrt{\sin 2\alpha}}
s
i
n
2
α
2
c
o
s
α
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