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


Chapter Exercises

Exercise 4.1
Exercise 4.2
Exercise 4.3
Exercise 4.4
Exercise 4.5
Exercise 4.6
Exercise 4.7
Exercise 4.8
Exercise 4.9
Exercise 4.10
Exercise 4.11
Exercise 4.12
Exercise 4.13
Exercise 4.14
Very short answer
MCQ

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