Trig Identities Question NEED HELP

AI Thread Summary
The discussion revolves around proving the trigonometric identity (1 + sin(2x)) = (cos(x)) / ((cos(x) + sin(x))(cos(x) - sin(x))). Participants express confusion over the original equation's ambiguity and emphasize the need for clearer notation. Double angle identities are mentioned, particularly sin(2x) = 2sin(x)cos(x), but users struggle to apply them effectively. A key insight is that 1 + 2sin(x)cos(x) can be recognized as a perfect square. The conversation highlights the challenge of manipulating trigonometric identities and the importance of clarity in mathematical expressions.
darrenc
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How do I prove that

(1+sin2x) = (cosx)
(cosx + sinx) (cosx - sinx)
 
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I can't tell what you need to prove, since what you have written is ambiguous. Put parentheses around the terms in each numerator and in each denominator.

Do you know any double angle identities?
 
Mark44 said:
I can't tell what you need to prove, since what you have written is ambiguous. Put parentheses around the terms in each numerator and in each denominator.

Do you know any double angle identities?

I know double angle identities such as

sin2x = 2sinxcosx and the three cos2x ones but i can't get anything to work

I've got all the formulas but i don't know how to use them to make it work
 
Dude, i got pissed off at this same question yesterday. The key is 1 +2sinxcosx is a perfect square!
 
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