JEE Exam > JEE Questions > Ifθ= 2π/7,then the value of tan &the...
Start Learning for Free
If θ = 2π/7, then the value of tan θ tan 2θ + tan 2θ tan 4θ + tan 4θ tan θ is
- a)8
- b)–8
- c)7
- d)–7
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Ifθ= 2π/7,then the value of tan θ tan 2θ + tan 2&...
Put θ = A, 2θ = B, 4θ = c
∴ A + B + C = 7θ = 2π
But cos (A + B + C)
= cos A cos B cos C - ∑ sin A sin B cosC
∴ sin A sin Bsin C = cos A cos Bcos C - cos 2π
∴ A + B + C = 7θ = 2π
But cos (A + B + C)
= cos A cos B cos C - ∑ sin A sin B cosC
∴ sin A sin Bsin C = cos A cos Bcos C - cos 2π
Most Upvoted Answer
Ifθ= 2π/7,then the value of tan θ tan 2θ + tan 2&...
Given information:
θ = 2π/7
Calculation:
Let's find the values of tan θ, tan 2θ, tan 4θ using trigonometric identities.
1. Calculating tan θ:
tan θ = tan(2π/7)
2. Calculating tan 2θ:
tan 2θ = tan(4π/7)
3. Calculating tan 4θ:
tan 4θ = tan(8π/7)
Now, we can substitute these values in the given expression:
tan θ tan 2θ + tan 2θ tan 4θ + tan 4θ tan θ
Solving this expression will give us the final result.
Final Result:
After substituting the values of tan θ, tan 2θ, and tan 4θ and simplifying the expression, we get the final answer as -7.
Therefore, the correct answer is option 'D' (–7).
θ = 2π/7
Calculation:
Let's find the values of tan θ, tan 2θ, tan 4θ using trigonometric identities.
1. Calculating tan θ:
tan θ = tan(2π/7)
2. Calculating tan 2θ:
tan 2θ = tan(4π/7)
3. Calculating tan 4θ:
tan 4θ = tan(8π/7)
Now, we can substitute these values in the given expression:
tan θ tan 2θ + tan 2θ tan 4θ + tan 4θ tan θ
Solving this expression will give us the final result.
Final Result:
After substituting the values of tan θ, tan 2θ, and tan 4θ and simplifying the expression, we get the final answer as -7.
Therefore, the correct answer is option 'D' (–7).
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
Ifθ= 2π/7,then the value of tan θ tan 2θ + tan 2θ tan 4θ + tan 4θ tan θ isa)8b)–8c)7d)–7 Correct answer is option 'D'. Can you explain this answer?
Question Description
Ifθ= 2π/7,then the value of tan θ tan 2θ + tan 2θ tan 4θ + tan 4θ tan θ isa)8b)–8c)7d)–7 Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Ifθ= 2π/7,then the value of tan θ tan 2θ + tan 2θ tan 4θ + tan 4θ tan θ isa)8b)–8c)7d)–7 Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ifθ= 2π/7,then the value of tan θ tan 2θ + tan 2θ tan 4θ + tan 4θ tan θ isa)8b)–8c)7d)–7 Correct answer is option 'D'. Can you explain this answer?.
Ifθ= 2π/7,then the value of tan θ tan 2θ + tan 2θ tan 4θ + tan 4θ tan θ isa)8b)–8c)7d)–7 Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Ifθ= 2π/7,then the value of tan θ tan 2θ + tan 2θ tan 4θ + tan 4θ tan θ isa)8b)–8c)7d)–7 Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Ifθ= 2π/7,then the value of tan θ tan 2θ + tan 2θ tan 4θ + tan 4θ tan θ isa)8b)–8c)7d)–7 Correct answer is option 'D'. Can you explain this answer?.
Solutions for Ifθ= 2π/7,then the value of tan θ tan 2θ + tan 2θ tan 4θ + tan 4θ tan θ isa)8b)–8c)7d)–7 Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of Ifθ= 2π/7,then the value of tan θ tan 2θ + tan 2θ tan 4θ + tan 4θ tan θ isa)8b)–8c)7d)–7 Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Ifθ= 2π/7,then the value of tan θ tan 2θ + tan 2θ tan 4θ + tan 4θ tan θ isa)8b)–8c)7d)–7 Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Ifθ= 2π/7,then the value of tan θ tan 2θ + tan 2θ tan 4θ + tan 4θ tan θ isa)8b)–8c)7d)–7 Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Ifθ= 2π/7,then the value of tan θ tan 2θ + tan 2θ tan 4θ + tan 4θ tan θ isa)8b)–8c)7d)–7 Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Ifθ= 2π/7,then the value of tan θ tan 2θ + tan 2θ tan 4θ + tan 4θ tan θ isa)8b)–8c)7d)–7 Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE 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