RD Sharma - Mathematics (Volume 1)

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


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