Here is a trig question I need help solving (step by step walk-through would be the most beneficial)

Our teacher prefers that we only work on one side.

1 - csc^2 x / 1 + csc x = sin x - 1 / sin x

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- May 26th 2011, 07:20 PMjmhelpTrig Identities.
Here is a trig question I need help solving (step by step walk-through would be the most beneficial)

Our teacher prefers that we only work on one side.

1 - csc^2 x / 1 + csc x = sin x - 1 / sin x - May 26th 2011, 07:33 PMsa-ri-ga-ma
You have not shown the brackets.

(1 - csc^2 x) / (1 + csc x) = (sin x - 1) / sin x

Is it correct? - May 26th 2011, 07:34 PMjmhelp
Yes that is correct, my apologies

- May 27th 2011, 12:53 AMProve It
Start by writing everything in terms of sines and cosines, then get common denominators and apply the Pythagorean Theorem.

- May 27th 2011, 01:12 AMsa-ri-ga-ma
Factorize (1 - csc^2 x) just like (a^2 - b^2), then simplify.