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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?
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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.
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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?
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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?.
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