Solution Found!
The identity sin-1 x + cos-1 x = ?/2 Figure 1.72
Chapter 1, Problem 76E(choose chapter or problem)
Problem 76E
The identity sin-1 x + cos-1 x = π/2 Figure 1.72 establishes the identity for 0< x<1. To establish it for the rest of [-1, 1], verify by direct calculation that it holds for x=1, 0, and -1. .Then, for values of x in ( -1, 0) , let x = –a, a>0 and apply Eqs. (3) and (5) to the sum sin-1( -a)+ cos-1(-a) .
Questions & Answers
QUESTION:
Problem 76E
The identity sin-1 x + cos-1 x = π/2 Figure 1.72 establishes the identity for 0< x<1. To establish it for the rest of [-1, 1], verify by direct calculation that it holds for x=1, 0, and -1. .Then, for values of x in ( -1, 0) , let x = –a, a>0 and apply Eqs. (3) and (5) to the sum sin-1( -a)+ cos-1(-a) .
ANSWER:
Solution:-
Step 1 of 5
Given that
We have to establish it for the rest of [-1, 1], verify by direct calculation that it holds for x=1, 0, and -1.Then, for values of x in ( -1, 0) , let x = –a, a>0 and apply Eqs. (3) and (5) to the sum sin-1( -a)+ cos-1(-a) .