RD Sharma - Mathematics (Volume 1)

Book: RD Sharma - Mathematics (Volume 1)

Chapter: 4. Inverse Trigonometric Functions

Subject: Maths - Class 12th

Q. No. 10 of Exercise 4.14

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10

prove that:

, where a= ax – by and β=ay+bx.

Given:-


Take


LHS


=


We know that, Formula



Thus,


=


=


=


Formula used:- a2 + b2 + 2ab = (a+b)2


=


=


As given


a= ax–by and β= ay+bx


Thus,



= RHS


So,



Hence Proved


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