Question

cosecx = cosec y cosecz + coty cotz prove that
cosec y = coseczcosecx+ cotxcotz
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Answer 1

Given: cosecx = cosecy cosecz + coty cotz

To prove: cosecy = cosecz cosecx + cotx cotz

This is a simple of trigonometric substitution, where we substitute

• x by y
• y by z
• z by x

Given, cosecx = cosecy cosecz + coty cotz

Now doing the required replacements, we get

cosecy = cosecz cosecx + cotz cotx

This completes the proof.

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