Book: RD Sharma - Mathematics (Volume 1)
Chapter: 4. Inverse Trigonometric Functions
Subject: Maths - Class 12th
Q. No. 3 of Exercise 4.13
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3
Solve: cos–1 √3x+cos–1x= π/2
Given:- 
Take
We know that, Formula
Thus,
⇒ 
⇒ 
⇒ 
⇒ 
Squaring both sides, we get
⇒ 3x4 = 1 – x2 – 3x2 + 3x4
⇒ 1 – 4x2 = 0
⇒ 
⇒ 
