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Mathematics
Problem
To obtain the identity
1
+
cot
2
x
=
csc
2
x
1+\cot^2 x = \csc^2 x
1
+
cot
2
x
=
csc
2
x
from
sin
2
x
+
cos
2
x
=
1
\sin^2 x + \cos^2 x = 1
sin
2
x
+
cos
2
x
=
1
, which single algebraic operation on both sides is sufficient? a) Multiply by
tan
2
x
\tan^2 x
tan
2
x
b) Divide by
cos
2
x
\cos^2 x
cos
2
x
c) Divide by
sin
2
x
\sin^2 x
sin
2
x
d) Subtract
cos
2
x
\cos^2 x
cos
2
x
from both sides
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