Provide solution for RD Sharma maths Class 12 Chapter Inverse Trigonometric Functions Exercise 3.3 Question 2 Subquestion (i) 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
.
Thus,
Given :
Explanation :
Let us first solve for
Let ....(i)
[from equation (i)]
The range of principal value branch of is
.
.....(ii)
Let us solve for
Let .....(iii)
[From equation (iii)]
The range of principal value branch of is
.
.....(iv)
Now,
[From equation (ii) and (iv)]
.