Book: RD Sharma - Mathematics (Volume 1)
Chapter: 4. Inverse Trigonometric Functions
Subject: Maths - Class 12th
Q. No. 2 of Exercise 4.13
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2
Solve the equation: cos–1 a/x–cos–1 b/x =cos–1 1/a
Given:- 
Take
⇒ 
We know that, Formula
Thus,
⇒ 
⇒ 
⇒ 
Squaring both side or removing square root, we get
⇒ 
⇒ 
⇒ 
⇒ (b2 – a2)a2b2 = x2(b2 – a2)
⇒ x2 = a2b2
⇒ x = ab
