Class 11 Exam > Class 11 Questions > Alfa only real root of the equation x cube ...
Start Learning for Free
Alfa only real root of the equation x cube b x square c x 1 = 0 then the value of tan inverse alpha tan inverse of 1 by Alpha is equal?
Most Upvoted Answer
Alfa only real root of the equation x cube b x square c x 1 = 0 ...
Given Equation:
The equation is x^3 - bx^2 + cx - 1 = 0 where α is the only real root.
Finding the Value of tan-1α and tan-1(1/α):
To find the values of tan-1α and tan-1(1/α), we need to first determine the value of α. Since α is the only real root of the equation, we can find its value by solving the given equation. Once we have the value of α, we can proceed to find the required trigonometric values.
Explanation:
1. Let's denote the given equation as f(x) = x^3 - bx^2 + cx - 1.
2. Since α is the only real root of the equation, we can rewrite the equation as (x - α)(x^2 + px + q) = 0, where p and q are constants.
3. By comparing coefficients, we can find the values of p and q.
4. Once we have α, we can find tan-1α and tan-1(1/α) by using the properties of inverse trigonometric functions.
Conclusion:
By following the steps mentioned above, you can determine the value of α and then find tan-1α and tan-1(1/α) accordingly. This process will help you understand the relationship between the roots of the given equation and the trigonometric functions involved.
The equation is x^3 - bx^2 + cx - 1 = 0 where α is the only real root.
Finding the Value of tan-1α and tan-1(1/α):
To find the values of tan-1α and tan-1(1/α), we need to first determine the value of α. Since α is the only real root of the equation, we can find its value by solving the given equation. Once we have the value of α, we can proceed to find the required trigonometric values.
Explanation:
1. Let's denote the given equation as f(x) = x^3 - bx^2 + cx - 1.
2. Since α is the only real root of the equation, we can rewrite the equation as (x - α)(x^2 + px + q) = 0, where p and q are constants.
3. By comparing coefficients, we can find the values of p and q.
4. Once we have α, we can find tan-1α and tan-1(1/α) by using the properties of inverse trigonometric functions.
Conclusion:
By following the steps mentioned above, you can determine the value of α and then find tan-1α and tan-1(1/α) accordingly. This process will help you understand the relationship between the roots of the given equation and the trigonometric functions involved.
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
|
Explore Courses for Class 11 exam
|
|
Similar Class 11 Doubts
Top Courses for Class 11View all
Alfa only real root of the equation x cube b x square c x 1 = 0 then the value of tan inverse alpha tan inverse of 1 by Alpha is equal?
Question Description
Alfa only real root of the equation x cube b x square c x 1 = 0 then the value of tan inverse alpha tan inverse of 1 by Alpha is equal? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Alfa only real root of the equation x cube b x square c x 1 = 0 then the value of tan inverse alpha tan inverse of 1 by Alpha is equal? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Alfa only real root of the equation x cube b x square c x 1 = 0 then the value of tan inverse alpha tan inverse of 1 by Alpha is equal?.
Alfa only real root of the equation x cube b x square c x 1 = 0 then the value of tan inverse alpha tan inverse of 1 by Alpha is equal? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about Alfa only real root of the equation x cube b x square c x 1 = 0 then the value of tan inverse alpha tan inverse of 1 by Alpha is equal? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Alfa only real root of the equation x cube b x square c x 1 = 0 then the value of tan inverse alpha tan inverse of 1 by Alpha is equal?.
Solutions for Alfa only real root of the equation x cube b x square c x 1 = 0 then the value of tan inverse alpha tan inverse of 1 by Alpha is equal? in English & in Hindi are available as part of our courses for Class 11.
Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of Alfa only real root of the equation x cube b x square c x 1 = 0 then the value of tan inverse alpha tan inverse of 1 by Alpha is equal? defined & explained in the simplest way possible. Besides giving the explanation of
Alfa only real root of the equation x cube b x square c x 1 = 0 then the value of tan inverse alpha tan inverse of 1 by Alpha is equal?, a detailed solution for Alfa only real root of the equation x cube b x square c x 1 = 0 then the value of tan inverse alpha tan inverse of 1 by Alpha is equal? has been provided alongside types of Alfa only real root of the equation x cube b x square c x 1 = 0 then the value of tan inverse alpha tan inverse of 1 by Alpha is equal? theory, EduRev gives you an
ample number of questions to practice Alfa only real root of the equation x cube b x square c x 1 = 0 then the value of tan inverse alpha tan inverse of 1 by Alpha is equal? tests, examples and also practice Class 11 tests.
|
|
Explore Courses for Class 11 exam
|
|
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