Trigonometric Identity for 1/2csc(THETA)sec(THETA)

AI Thread Summary
The discussion centers on simplifying the expression 1/2csc(THETA)sec(THETA). The user recognizes that csc(THETA) can be expressed as 1/sin(THETA) and sec(THETA) as 1/cos(THETA), but struggles to simplify further. A suggestion is made that the expression can be related to the double angle identity sin(2x) = 2sin(x)cos(x). Ultimately, the user believes the expression should simplify to sin(2x)/4. The conversation highlights the challenge of simplifying trigonometric identities effectively.
catenn
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Hi, I have a question about a problem:

1/2csc(THETA)sec(THETA)

I have to find the identity for it and I know that csc is 1/sin and sec is 1/cos but after that I don't see where it can lead to a simple answer. If anyone knows it would be helpful, thanks!
 
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sin(2x) = 2sin(x)cos(x)
 
it should simpify to sin(2x)/4
 

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