Class 10 Exam > Class 10 Questions > 5 cot2 A – 5 cosec2 A =a)– 5b)1c)...
Start Learning for Free
5 cot2 A – 5 cosec2 A =
- a)– 5
- b)1
- c)0
- d)5
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
5 cot2 A – 5 cosec2 A =a)– 5b)1c)0d)5Correct answer is opt...
Given: 5cot²A × 5cosec²A
To find: the value of the expression
Solution:
We know that:
cot²A = 1/(tan²A) and cosec²A = 1/(sin²A)
Substituting these values in the given expression, we get:
5cot²A × 5cosec²A = 5(1/(tan²A)) × 5(1/(sin²A))
= 25/(tan²A × sin²A)
But we know that:
tan²A × sin²A = (sinA/cosA)² × sin²A = sin³A/cos²A
Substituting this value in the expression, we get:
25/(tan²A × sin²A) = 25/(sin³A/cos²A)
= 25(cos²A/sin³A)
= 25cot²A × cosec²A
Substituting the values of cot²A and cosec²A, we get:
25cot²A × cosec²A = 25(1/(tan²A)) × 5(1/(sin²A))
= 25/(tan²A × sin²A)
We can see that this is the same expression that we started with.
Therefore, 5cot²A × 5cosec²A = 25/(tan²A × sin²A)
Answer: Option A) 5
To find: the value of the expression
Solution:
We know that:
cot²A = 1/(tan²A) and cosec²A = 1/(sin²A)
Substituting these values in the given expression, we get:
5cot²A × 5cosec²A = 5(1/(tan²A)) × 5(1/(sin²A))
= 25/(tan²A × sin²A)
But we know that:
tan²A × sin²A = (sinA/cosA)² × sin²A = sin³A/cos²A
Substituting this value in the expression, we get:
25/(tan²A × sin²A) = 25/(sin³A/cos²A)
= 25(cos²A/sin³A)
= 25cot²A × cosec²A
Substituting the values of cot²A and cosec²A, we get:
25cot²A × cosec²A = 25(1/(tan²A)) × 5(1/(sin²A))
= 25/(tan²A × sin²A)
We can see that this is the same expression that we started with.
Therefore, 5cot²A × 5cosec²A = 25/(tan²A × sin²A)
Answer: Option A) 5
Free Test
FREE
| Start Free Test |
Community Answer
5 cot2 A – 5 cosec2 A =a)– 5b)1c)0d)5Correct answer is opt...
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
5 cot2 A – 5 cosec2 A =a)– 5b)1c)0d)5Correct answer is option 'A'. Can you explain this answer?
Question Description
5 cot2 A – 5 cosec2 A =a)– 5b)1c)0d)5Correct answer is option 'A'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about 5 cot2 A – 5 cosec2 A =a)– 5b)1c)0d)5Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 5 cot2 A – 5 cosec2 A =a)– 5b)1c)0d)5Correct answer is option 'A'. Can you explain this answer?.
5 cot2 A – 5 cosec2 A =a)– 5b)1c)0d)5Correct answer is option 'A'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about 5 cot2 A – 5 cosec2 A =a)– 5b)1c)0d)5Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 5 cot2 A – 5 cosec2 A =a)– 5b)1c)0d)5Correct answer is option 'A'. Can you explain this answer?.
Solutions for 5 cot2 A – 5 cosec2 A =a)– 5b)1c)0d)5Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of 5 cot2 A – 5 cosec2 A =a)– 5b)1c)0d)5Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
5 cot2 A – 5 cosec2 A =a)– 5b)1c)0d)5Correct answer is option 'A'. Can you explain this answer?, a detailed solution for 5 cot2 A – 5 cosec2 A =a)– 5b)1c)0d)5Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of 5 cot2 A – 5 cosec2 A =a)– 5b)1c)0d)5Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice 5 cot2 A – 5 cosec2 A =a)– 5b)1c)0d)5Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup