Maths Assignment | Class 12 | Chapter - 2
Inverse Trigonometric Functions
Important questions on Inverse Trigonometric Functions, Maths
Assignment on trigonometric functions, extra questions on inverse trigonometric
functions class XII chapter 2
Important steps that students need to do
- First of all students should learn and revise all basic concepts and formulas of Inverse Trigonometric Functions.
- Revise Chapter 2 Inverse Trigonometric Functions from NCERT book of Mathematics.
- Revise all examples of chapter 2 of NCERT book.
- Now start the Assignment.
Assignment on Inverse Trigonometric Functions
Question 1: Find the Principal Value of the following functions
Question 2:
Find the value of :
Question 3: Find the value of the following
Question 4: Find the value of the following
Question 5: Find the value of the following
Question 6: Find the value of the following
Question 7 (CBSE SP 2023)
Find the domain of sin-1(x2
- 4)
Solution Hint
Domain of sin-1 x is [-1, 1], so for the given function we have
-1≤ x2 - 4 ≤ 1
Adding 4 we get
3≤ x2 ≤ 5
Taking square root we get
. now we have
On the number line common region of these inequilities is shown with the red line
So the domain of the given function is given by
Solution:
Now Let: Equations (1), (2) and (3) proves the given statement
Question 13: Prove the following
Question 14: Prove the following
Question 15: Find the value of x if
Question 16: Find the value of the following
Question 17: Solve for the value of x
Question 18:
then find the value of θ
Question 19. Simplifying the following
Question 20:
Solution :
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