RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

Q. No. 3 of Exercise 4.11

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3

Solve the following equations for x:

Given:-


Take



We know that, Formula



Thus,






We know that, Formula



Thus,






4x – x3 = 6x – 9x3


9x3 – x3 + 4x – 6x = 0


8x3 – 2x = 0


2x(4x2 – 1) = 0



All satisfies x value


So,


is the root of the given equation


Therefore,



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