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:
, where x > 0
Given:- 
Take
We know that, Formula
Thus,
⇒ 
We know that, Formula
Thus,
⇒ 
⇒ 
⇒ 
We know that, Formula
Thus,
⇒ 
⇒ 
By rationalisation
⇒ 
⇒ 
⇒ (x+1)2 = (1+√3)2
⇒ x+1 = ±(1+√3)
⇒ x +1 = 1+√3 or x +1 = –1–√3
⇒ x = √3 or x = –2 – √3
as given, x > 0
Therefore
x = √3
