Did i solve this identity right (trig)
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Did i solve this identity right (trig)

[From: ] [author: ] [Date: 12-12-08] [Hit: ]
............
(cscθ-1) (cscθ+1)= cot²θ
what i did:
csc²θ+cscθ-cscθ (these two cancel out and ...........)

cscθ²+ 1= cot²θ (my answer)

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No,
your answer is a little wrong. On the left side you have :

(cscθ-1) (cscθ+1) = csc²θ - 1

which is absolutely (1/sin²θ) - 1 = (1-sin²θ) / sin²θ = cos²θ / sin²θ = cot²θ
1
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