Use the power reducing formulas to rewrite sin²6x cos²6x in terms of the first power of cosine. Simplify your answer as much as possible. To indicate your answer, first choose one of the four forms below. Then fill in the blanks with the appropriate numbers. sin²6x cos²6x = -cosx + cosx sin²6x cos²6x = + cosx + cosx sin 6x cos²6x = -cosx sin²6x cos²6x = + cosx 010 x 5 ?
Use the power reducing formulas to rewrite sin²6x cos²6x in terms of the first power of cosine. Simplify your answer as much as possible. To indicate your answer, first choose one of the four forms below. Then fill in the blanks with the appropriate numbers. sin²6x cos²6x = -cosx + cosx sin²6x cos²6x = + cosx + cosx sin 6x cos²6x = -cosx sin²6x cos²6x = + cosx 010 x 5 ?
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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## Rewriting Trigonometric Expressions Using Power-Reducing Formulas
### Objective
Use the [power reducing formulas](https://mathwebsite.com/power-reducing-formulas) to rewrite \( \sin^2 6x \cos^2 6x \) in terms of the first power of cosine. **Simplify** your answer as much as possible.
### Instructions
To indicate your answer, first choose one of the four forms below. Then fill in the blanks with the appropriate numbers.
### Options for Answer
1. \( \sin^2 6x \cos^2 6x = \boxed{} - \boxed{} \cos \boxed{} x + \boxed{} \cos \boxed{} x \)
2. \( \sin^2 6x \cos^2 6x = \boxed{} + \boxed{} \cos \boxed{} x + \boxed{} \cos \boxed{} x \)
3. \( \sin^2 6x \cos^2 6x = \boxed{} - \boxed{} \cos \boxed{} x \)
4. \( \sin^2 6x \cos^2 6x = \boxed{} + \boxed{} \cos \boxed{} x \)
---
Use your knowledge of power-reducing trigonometric identities to determine the correct form and values. This exercise helps in understanding the simplification of trigonometric expressions and preparing for more complex problems in calculus and trigonometry.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8c0c699c-0ea3-4621-a196-a76a2f333ed8%2F2b1d15af-8752-4c21-83ee-ca22af3ceaf9%2Fn9m4cv8_processed.png&w=3840&q=75)
Transcribed Image Text:---
## Rewriting Trigonometric Expressions Using Power-Reducing Formulas
### Objective
Use the [power reducing formulas](https://mathwebsite.com/power-reducing-formulas) to rewrite \( \sin^2 6x \cos^2 6x \) in terms of the first power of cosine. **Simplify** your answer as much as possible.
### Instructions
To indicate your answer, first choose one of the four forms below. Then fill in the blanks with the appropriate numbers.
### Options for Answer
1. \( \sin^2 6x \cos^2 6x = \boxed{} - \boxed{} \cos \boxed{} x + \boxed{} \cos \boxed{} x \)
2. \( \sin^2 6x \cos^2 6x = \boxed{} + \boxed{} \cos \boxed{} x + \boxed{} \cos \boxed{} x \)
3. \( \sin^2 6x \cos^2 6x = \boxed{} - \boxed{} \cos \boxed{} x \)
4. \( \sin^2 6x \cos^2 6x = \boxed{} + \boxed{} \cos \boxed{} x \)
---
Use your knowledge of power-reducing trigonometric identities to determine the correct form and values. This exercise helps in understanding the simplification of trigonometric expressions and preparing for more complex problems in calculus and trigonometry.
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