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Mathematics
Problem
For an acute angle
x
x
x
, which of the following identities is always true? a)
sec
2
x
+
tan
2
x
=
1
\sec^2 x + \tan^2 x = 1
sec
2
x
+
tan
2
x
=
1
b)
csc
2
x
−
cot
2
x
=
1
\csc^2 x - \cot^2 x = 1
csc
2
x
−
cot
2
x
=
1
c)
sin
(
90
∘
−
x
)
=
cot
x
\sin(90^\circ - x) = \cot x
sin
(
9
0
∘
−
x
)
=
cot
x
d)
csc
2
x
+
cot
2
x
=
1
\csc^2 x + \cot^2 x = 1
csc
2
x
+
cot
2
x
=
1
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