Class 10 Exam > Class 10 Questions > 2cos^4 + 2cos^3 sin/cos^ 2-sin^2 ?
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2cos^4 + 2cos^3 sin/cos^ 2-sin^2 ?
Most Upvoted Answer
2cos^4 + 2cos^3 sin/cos^ 2-sin^2 ?
Solution:
Given Expression:
2cos^4 + 2cos^3 sin/cos^2 - sin^2
Simplify the expression:
- First, simplify the term involving sin/cos:
= 2cos^4 + 2cos^3 sin/cos^2 - sin^2
= 2cos^4 + 2cos sin - sin^2
= 2cos^4 + 2cos sin - (1 - cos^2)
= 2cos^4 + 2cos sin - 1 + cos^2
= 2cos^4 + 2cos sin + cos^2 - 1
- Now, factor out common terms:
= cos^2(2cos^2 + 2cos + 1) - 1
- Simplify further:
= cos^2(2cos + 1)^2 - 1
Final Answer:
The simplified expression is cos^2(2cos + 1)^2 - 1.
Given Expression:
2cos^4 + 2cos^3 sin/cos^2 - sin^2
Simplify the expression:
- First, simplify the term involving sin/cos:
= 2cos^4 + 2cos^3 sin/cos^2 - sin^2
= 2cos^4 + 2cos sin - sin^2
= 2cos^4 + 2cos sin - (1 - cos^2)
= 2cos^4 + 2cos sin - 1 + cos^2
= 2cos^4 + 2cos sin + cos^2 - 1
- Now, factor out common terms:
= cos^2(2cos^2 + 2cos + 1) - 1
- Simplify further:
= cos^2(2cos + 1)^2 - 1
Final Answer:
The simplified expression is cos^2(2cos + 1)^2 - 1.
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2cos^4 + 2cos^3 sin/cos^ 2-sin^2 ? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about 2cos^4 + 2cos^3 sin/cos^ 2-sin^2 ? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2cos^4 + 2cos^3 sin/cos^ 2-sin^2 ?.
2cos^4 + 2cos^3 sin/cos^ 2-sin^2 ? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about 2cos^4 + 2cos^3 sin/cos^ 2-sin^2 ? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 2cos^4 + 2cos^3 sin/cos^ 2-sin^2 ?.
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