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Which expression is equivalent to sec2xcot2x?

Which expression is equivalent to sec2xcot2x?
asked 83.4k views
0 votes
Which expression is equivalent to sec2xcot2x?

asked
User Systemhalted
by
8.2k points

2 Answers

3 votes

Answer:

The other guy was right, the answer is option B

Explanation:

B. csc^2x

answered
User Loquace
by
8.3k points
5 votes
The basic rule of cos is
cos x = 1 / sec x

so
sec 2x = 1 / cos 2x

cot 2x = 1 / tan 2x
tan 2x = sin 2x / cos 2x

so
cot 2x = cos 2x / sin 2x

therefore
sec2x cot2x
(1/cos2x) * (cos2x / sin2x)
1 / sin 2x

but sin 2x = 1 / cosec 2x

so the answer is cosec 2x
answered
User Philipp Gfeller
by
8.2k points
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