### 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.

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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

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Answered: Prove the identity. sin 2x cotx %3D 1-…

Math

Trigonometry

Prove the identity. sin 2x cotx %3D 1- cos 2x

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter2: Right Triangle Trigonometry

Section: Chapter Questions

Problem 6GP

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Concept explainers

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.

Topic Video

Question

### Prove the Identity

\[ \frac{\sin{2x}}{1 - \cos{2x}} = \cot{x} \]

---

### Instructions for Proving Trigonometric Identities

Note 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 Selection

Please use the "Select Rule" button to choose the appropriate trigonometric identity or rule to prove the given equation.

#### Validation

After applying the appropriate rules, use the "Validate" button to confirm that the steps taken correctly prove the identity.

#### Additional Information

For further assistance, the rule menu provides options to utilize fundamental trigonometric identities or transformations.

---

### Diagram Explanation

The 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.

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