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I just don't get this stuff. I've been trying on my own with the book. Also, is there a better way to post this?

tanx 1 + secx

_________ + _________ = 2csc x

1 + secx tanx

I need to prove that this side equals the other.

http://users.rcn.com/mwhitney.massed/trigresources/trig-reference.html [Broken]

^^The reference I was using.

tanx(tanx) 1 + secx(1 + secx)

_________ + _________ = 2csc x

1 + secx(tanx) tanx(1 + secx)

tan2 x 1 + 2secx + sec2x

________________ + _________________

1 + secx(tanx) (tanx)1 + secx

tan2x + 1 + 2secx + sec2x

_________________________

1 + cos 1/x(tanx)

sec2x + 2cos 1/x + sec2x

_________________________

1 + cos 1/x(tanx)

This is as far as I get before I get lost.

## Homework Statement

tanx 1 + secx

_________ + _________ = 2csc x

1 + secx tanx

I need to prove that this side equals the other.

## Homework Equations

http://users.rcn.com/mwhitney.massed/trigresources/trig-reference.html [Broken]

^^The reference I was using.

## The Attempt at a Solution

tanx(tanx) 1 + secx(1 + secx)

_________ + _________ = 2csc x

1 + secx(tanx) tanx(1 + secx)

tan2 x 1 + 2secx + sec2x

________________ + _________________

1 + secx(tanx) (tanx)1 + secx

tan2x + 1 + 2secx + sec2x

_________________________

1 + cos 1/x(tanx)

sec2x + 2cos 1/x + sec2x

_________________________

1 + cos 1/x(tanx)

This is as far as I get before I get lost.

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