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Math Assignment Class XII Ch-2 | Inverse Trigonometric Functions

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

equation.  now we have

equation 

equation 
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

equation 

Question 8: Write the following functions in the simplest form











Question 9: Simplify the followings





Question 10: Find the value of x if



Question 11: Prove that


Question 12: Prove that



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







Solution (ii):













Question 20:



Solution :












 

















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