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Help, I need a complicated trigonometry question

5 replies

CountessDracula · 12/01/2006 16:08

plus the answer

To wind someone up

TIA

OP posts:
katzg · 12/01/2006 16:12

try this:

1 + tan2x ? cos2x ? cos2x tan2x is equivalent to which of the following expressions?
(A) 1 ? sec2x
(B) cos2x
(C) tan2x
(D) cot2x
(E) cot2x

katzg · 12/01/2006 16:13

answer C

There are two easy ways to simplify the given expression. Both involve using identities. The first way is to immediately factor the expression into (1 ? cos2x)(1 + tan2x). Then, using the identities 1 ? cos2x = sin2x and 1 + tan2x = sec2x, the expression is simplified to sin2(x)sec2(x), which can be furthered simplified:

The other way takes slightly longer but requires the use of fewer identities.

katzg · 12/01/2006 16:14

the 2 are to the power ofs not just 2's

CountessDracula · 12/01/2006 16:14

Thanks so much

OP posts:
katzg · 12/01/2006 16:15

eg ²

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