RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

Q. No. 1 of Exercise 4.13

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1

If cos–1 x/2 + cos–1y/3 = a, then prove that 9x2–12xy cos a + 4y2 = 36 sin2 a.

Given:-


Take



We know that, Formula



Thus,






Now lets take square of both side, we get








Hence Proved


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