Provide solution for RD Sharma maths Class 12 Chapter Inverse Trigonometric Functions Exercise 3.3 Question 2 Sub question (ii) maths textbook solution.
Answer :
Hint : The branch with range is called the principal value branch of function
.
Thus,
The branch with range is called the principal value branch of the function
and domain of the function
is
.
Thus,
Given :
Explanation :
Let is first solve for .
Let, .....(i)
The range of principal value branch of
is
.
The principal value of is
.....(ii)
Now,
[From equation (ii)]
.....(iii)
Now,
Let ......(iv)
[From equation iv]
The range of principal value branch of
is
.
Principal value of
is
.
Hence principal vaue of is
.