UPSC Exam > UPSC Questions > If 2 tan-x + sin-'y = then (2)x= sqrt(3 - 3y ...
Start Learning for Free
If 2 tan-x + sin-'y = then (2)x= sqrt(3 - 3y ^ 2 - y) * (sqrt(1 - y ^ 2) + sqrt(3) * y) .; (4) > (2x)/(1 - x ^ 2) = (sqrt(3 - 3y ^ 2) - y)/(sqrt(1 - y ^ 2) + sqrt(3) * y) (3) (2x)/(1 - x ^ 2) = (sqrt(1 - y ^ 2))/y; 4) (2x)/(1 - x ^ 2) = (sqrt(3 - 3y ^ 2) + y)/(sqrt(1 - y ^ 2) - sqrt(3) * y)?
Most Upvoted Answer
If 2 tan-x + sin-'y = then (2)x= sqrt(3 - 3y ^ 2 - y) * (sqrt(1 - y ^ ...
Explanation:
Given equation:
2 tan-x + sin-'y =
Equation (1):
2x = sqrt(3 - 3y^2 - y) * (sqrt(1 - y^2) + sqrt(3) * y)
Equation (2):
(2x)/(1 - x^2) = (sqrt(3 - 3y^2) - y)/(sqrt(1 - y^2) + sqrt(3) * y)
Equation (3):
(2x)/(1 - x^2) = (sqrt(1 - y^2))/y
Equation (4):
(2x)/(1 - x^2) = (sqrt(3 - 3y^2) + y)/(sqrt(1 - y^2) - sqrt(3) * y)
Explanation:
- Equation (1) is derived from the initial equation by simplifying the terms.
- Equation (2), (3), and (4) are different expressions derived from Equation (1) by manipulating the terms.
- By comparing Equation (2), (3), and (4) with Equation (1), it can be seen that they are equivalent expressions with different arrangements of terms.
- Each equation represents a different relationship between x and y based on the given initial equation.
In conclusion, the given equations represent different relationships between x and y derived from the initial equation. Each equation provides a unique perspective on the relationship between the variables based on the initial conditions.
Given equation:
2 tan-x + sin-'y =
Equation (1):
2x = sqrt(3 - 3y^2 - y) * (sqrt(1 - y^2) + sqrt(3) * y)
Equation (2):
(2x)/(1 - x^2) = (sqrt(3 - 3y^2) - y)/(sqrt(1 - y^2) + sqrt(3) * y)
Equation (3):
(2x)/(1 - x^2) = (sqrt(1 - y^2))/y
Equation (4):
(2x)/(1 - x^2) = (sqrt(3 - 3y^2) + y)/(sqrt(1 - y^2) - sqrt(3) * y)
Explanation:
- Equation (1) is derived from the initial equation by simplifying the terms.
- Equation (2), (3), and (4) are different expressions derived from Equation (1) by manipulating the terms.
- By comparing Equation (2), (3), and (4) with Equation (1), it can be seen that they are equivalent expressions with different arrangements of terms.
- Each equation represents a different relationship between x and y based on the given initial equation.
In conclusion, the given equations represent different relationships between x and y derived from the initial equation. Each equation provides a unique perspective on the relationship between the variables based on the initial conditions.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
If 2 tan-x + sin-'y = then (2)x= sqrt(3 - 3y ^ 2 - y) * (sqrt(1 - y ^ 2) + sqrt(3) * y) .; (4) > (2x)/(1 - x ^ 2) = (sqrt(3 - 3y ^ 2) - y)/(sqrt(1 - y ^ 2) + sqrt(3) * y) (3) (2x)/(1 - x ^ 2) = (sqrt(1 - y ^ 2))/y; 4) (2x)/(1 - x ^ 2) = (sqrt(3 - 3y ^ 2) + y)/(sqrt(1 - y ^ 2) - sqrt(3) * y)?
Question Description
If 2 tan-x + sin-'y = then (2)x= sqrt(3 - 3y ^ 2 - y) * (sqrt(1 - y ^ 2) + sqrt(3) * y) .; (4) > (2x)/(1 - x ^ 2) = (sqrt(3 - 3y ^ 2) - y)/(sqrt(1 - y ^ 2) + sqrt(3) * y) (3) (2x)/(1 - x ^ 2) = (sqrt(1 - y ^ 2))/y; 4) (2x)/(1 - x ^ 2) = (sqrt(3 - 3y ^ 2) + y)/(sqrt(1 - y ^ 2) - sqrt(3) * y)? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If 2 tan-x + sin-'y = then (2)x= sqrt(3 - 3y ^ 2 - y) * (sqrt(1 - y ^ 2) + sqrt(3) * y) .; (4) > (2x)/(1 - x ^ 2) = (sqrt(3 - 3y ^ 2) - y)/(sqrt(1 - y ^ 2) + sqrt(3) * y) (3) (2x)/(1 - x ^ 2) = (sqrt(1 - y ^ 2))/y; 4) (2x)/(1 - x ^ 2) = (sqrt(3 - 3y ^ 2) + y)/(sqrt(1 - y ^ 2) - sqrt(3) * y)? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 2 tan-x + sin-'y = then (2)x= sqrt(3 - 3y ^ 2 - y) * (sqrt(1 - y ^ 2) + sqrt(3) * y) .; (4) > (2x)/(1 - x ^ 2) = (sqrt(3 - 3y ^ 2) - y)/(sqrt(1 - y ^ 2) + sqrt(3) * y) (3) (2x)/(1 - x ^ 2) = (sqrt(1 - y ^ 2))/y; 4) (2x)/(1 - x ^ 2) = (sqrt(3 - 3y ^ 2) + y)/(sqrt(1 - y ^ 2) - sqrt(3) * y)?.
If 2 tan-x + sin-'y = then (2)x= sqrt(3 - 3y ^ 2 - y) * (sqrt(1 - y ^ 2) + sqrt(3) * y) .; (4) > (2x)/(1 - x ^ 2) = (sqrt(3 - 3y ^ 2) - y)/(sqrt(1 - y ^ 2) + sqrt(3) * y) (3) (2x)/(1 - x ^ 2) = (sqrt(1 - y ^ 2))/y; 4) (2x)/(1 - x ^ 2) = (sqrt(3 - 3y ^ 2) + y)/(sqrt(1 - y ^ 2) - sqrt(3) * y)? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If 2 tan-x + sin-'y = then (2)x= sqrt(3 - 3y ^ 2 - y) * (sqrt(1 - y ^ 2) + sqrt(3) * y) .; (4) > (2x)/(1 - x ^ 2) = (sqrt(3 - 3y ^ 2) - y)/(sqrt(1 - y ^ 2) + sqrt(3) * y) (3) (2x)/(1 - x ^ 2) = (sqrt(1 - y ^ 2))/y; 4) (2x)/(1 - x ^ 2) = (sqrt(3 - 3y ^ 2) + y)/(sqrt(1 - y ^ 2) - sqrt(3) * y)? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 2 tan-x + sin-'y = then (2)x= sqrt(3 - 3y ^ 2 - y) * (sqrt(1 - y ^ 2) + sqrt(3) * y) .; (4) > (2x)/(1 - x ^ 2) = (sqrt(3 - 3y ^ 2) - y)/(sqrt(1 - y ^ 2) + sqrt(3) * y) (3) (2x)/(1 - x ^ 2) = (sqrt(1 - y ^ 2))/y; 4) (2x)/(1 - x ^ 2) = (sqrt(3 - 3y ^ 2) + y)/(sqrt(1 - y ^ 2) - sqrt(3) * y)?.
Solutions for If 2 tan-x + sin-'y = then (2)x= sqrt(3 - 3y ^ 2 - y) * (sqrt(1 - y ^ 2) + sqrt(3) * y) .; (4) > (2x)/(1 - x ^ 2) = (sqrt(3 - 3y ^ 2) - y)/(sqrt(1 - y ^ 2) + sqrt(3) * y) (3) (2x)/(1 - x ^ 2) = (sqrt(1 - y ^ 2))/y; 4) (2x)/(1 - x ^ 2) = (sqrt(3 - 3y ^ 2) + y)/(sqrt(1 - y ^ 2) - sqrt(3) * y)? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of If 2 tan-x + sin-'y = then (2)x= sqrt(3 - 3y ^ 2 - y) * (sqrt(1 - y ^ 2) + sqrt(3) * y) .; (4) > (2x)/(1 - x ^ 2) = (sqrt(3 - 3y ^ 2) - y)/(sqrt(1 - y ^ 2) + sqrt(3) * y) (3) (2x)/(1 - x ^ 2) = (sqrt(1 - y ^ 2))/y; 4) (2x)/(1 - x ^ 2) = (sqrt(3 - 3y ^ 2) + y)/(sqrt(1 - y ^ 2) - sqrt(3) * y)? defined & explained in the simplest way possible. Besides giving the explanation of
If 2 tan-x + sin-'y = then (2)x= sqrt(3 - 3y ^ 2 - y) * (sqrt(1 - y ^ 2) + sqrt(3) * y) .; (4) > (2x)/(1 - x ^ 2) = (sqrt(3 - 3y ^ 2) - y)/(sqrt(1 - y ^ 2) + sqrt(3) * y) (3) (2x)/(1 - x ^ 2) = (sqrt(1 - y ^ 2))/y; 4) (2x)/(1 - x ^ 2) = (sqrt(3 - 3y ^ 2) + y)/(sqrt(1 - y ^ 2) - sqrt(3) * y)?, a detailed solution for If 2 tan-x + sin-'y = then (2)x= sqrt(3 - 3y ^ 2 - y) * (sqrt(1 - y ^ 2) + sqrt(3) * y) .; (4) > (2x)/(1 - x ^ 2) = (sqrt(3 - 3y ^ 2) - y)/(sqrt(1 - y ^ 2) + sqrt(3) * y) (3) (2x)/(1 - x ^ 2) = (sqrt(1 - y ^ 2))/y; 4) (2x)/(1 - x ^ 2) = (sqrt(3 - 3y ^ 2) + y)/(sqrt(1 - y ^ 2) - sqrt(3) * y)? has been provided alongside types of If 2 tan-x + sin-'y = then (2)x= sqrt(3 - 3y ^ 2 - y) * (sqrt(1 - y ^ 2) + sqrt(3) * y) .; (4) > (2x)/(1 - x ^ 2) = (sqrt(3 - 3y ^ 2) - y)/(sqrt(1 - y ^ 2) + sqrt(3) * y) (3) (2x)/(1 - x ^ 2) = (sqrt(1 - y ^ 2))/y; 4) (2x)/(1 - x ^ 2) = (sqrt(3 - 3y ^ 2) + y)/(sqrt(1 - y ^ 2) - sqrt(3) * y)? theory, EduRev gives you an
ample number of questions to practice If 2 tan-x + sin-'y = then (2)x= sqrt(3 - 3y ^ 2 - y) * (sqrt(1 - y ^ 2) + sqrt(3) * y) .; (4) > (2x)/(1 - x ^ 2) = (sqrt(3 - 3y ^ 2) - y)/(sqrt(1 - y ^ 2) + sqrt(3) * y) (3) (2x)/(1 - x ^ 2) = (sqrt(1 - y ^ 2))/y; 4) (2x)/(1 - x ^ 2) = (sqrt(3 - 3y ^ 2) + y)/(sqrt(1 - y ^ 2) - sqrt(3) * y)? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC 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