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Mathematics
Problem
Let
θ
\theta
θ
be an acute angle such that
tan
θ
=
p
(
p
>
0
)
\tan\theta = p\,(p>0)
tan
θ
=
p
(
p
>
0
)
. Which of the following expresses
cos
θ
\cos\theta
cos
θ
in terms of
p
p
p
? a)
p
1
+
p
2
\dfrac{p}{\sqrt{1+p^{2}}}
1
+
p
2
p
b)
1
1
+
p
2
\dfrac{1}{1+p^{2}}
1
+
p
2
1
c)
1
1
+
p
2
\dfrac{1}{\sqrt{1+p^{2}}}
1
+
p
2
1
d)
1
p
\dfrac{1}{p}
p
1
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