### Prove the Identity\[ \frac{\sin{2x}}{1 - \cos{2x}} = \cot{x} \]---### Instructions for Proving Trigonometric IdentitiesNote that each statement must be based on a rule chosen from the rule menu. To see a detailed description of a rule, select the "More Information" button to the right of the rule.---### Step-by-Step Solution#### Initial Statement\[ \frac{\sin{2x}}{1 - \cos{2x}} \]#### Rule SelectionPlease use the "Select Rule" button to choose the appropriate trigonometric identity or rule to prove the given equation.#### ValidationAfter applying the appropriate rules, use the "Validate" button to confirm that the steps taken correctly prove the identity.#### Additional InformationFor further assistance, the rule menu provides options to utilize fundamental trigonometric identities or transformations.---### Diagram ExplanationThe image also includes a diagram or selection menu where rules related to trigonometric functions can be chosen. The available options include:- Fundamental Trigonometric Functions: \(\cos\), \(\sin\), \(\tan\)- Co-Functions: \(\cot\), \(\sec\), \(\csc\)- Mathematical Operations: \(\pi\), fractions, square roots, etc.Use these options to build the proof of the given identity step-by-step. ---Click "Validate" once you have completed your proof to ensure its accuracy. If needed, consult the rule menu for guidance on each step.

Name: ### Prove the Identity\[ \frac{\sin{2x}}{1 - \cos{2x}} = \cot{x} \]--
Uploaded: 2024-03-20T06:46:55.000Z
Channel: Bartleby
Description: ### Prove the Identity\[ \frac{\sin{2x}}{1 - \cos{2x}} = \cot{x} \]---### Instructions for Proving Trigonometric IdentitiesNote that each statement must be based on a rule chosen from the rule menu. To see a detailed description of a rule, select th