SOLUTION: ln | csc theta +1| + ln | csc theta -1| = 2ln |cot theta| Establish the identity

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Question 694871: ln | csc theta +1| + ln | csc theta -1| = 2ln |cot theta|
Establish the identity

Answer by mouk(232) About Me  (Show Source):
You can put this solution on YOUR website!
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Now +ln+%28abs%28csc%28theta%29+%2B1%29%29+%2B+ln+%28abs%28csc%28theta%29+-1%29%29+
+%22%22+=+ln+%28abs%28%28csc%28theta%29+%2B+1%29%28csc%28theta%29+-1+%29%29%29+ (using +log%28A%29%2Blog%28B%29=log%28AB%29+ )
+%22%22+=+ln%28+abs%28+%28csc%28theta%29+%2B+1%29%28csc%28theta%29+-+1+%29%29+%29%29+
+%22%22+=+ln%28+abs%28+csc%5E2%28theta%29+-1+%29%29+
+%22%22+=+ln%28+abs%28+cot%5E2%28theta%29+%29%29+ (using +1+%2B+cot%5E2%28theta%29+=+csc%5E2%28theta%29+)
+%22%22+=+ln%28+abs%28+cot%28theta%29+%29%5E2+%29+
+%22%22+=+2ln%28+abs%28+cot%28theta%29+%29+%29+