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Solutions 2. Inverse Trigonometric Functions - Exercise 2.2 | Class 12 Mathematics-I - Toppers Study
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Solutions 2. Inverse Trigonometric Functions - Exercise 2.2 | Class 12 Mathematics-I - Toppers Study
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Chapter 2 Mathematics-I class 12
Exercise 2.2 class 12 Mathematics-I Chapter 2. Inverse Trigonometric Functions
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2. Inverse Trigonometric Functions
| Exercise 2.2 |
Solutions 2. Inverse Trigonometric Functions - Exercise 2.2 | Class 12 Mathematics-I - Toppers Study
Exersice 2.2
Prove the following:
Ques.1. 
Ans. We know that: 
Putting 
Putting ,
hance, proved.
Ques.2. 
Ans. We know that {
}
Putting 
Putting ,
hance. proved.
Ques.3. 
Ans. L.H.S. = 
= 
= 
= 
= 
= R.H.S.
hance, proved.
Ques.4. 
Ans. L.H.S. = 
= 
= 
= 
= 
= 
= R.H.S.
hance, proved.
Write the following functions in the simplest form:
Ques.5. 
Ans. Putting 
so that 
=
= 
= 
= 
= 
= 
= 
= 
Ques.6. 
Ans. Putting 
so that 
= 
= 
= 
= 
= 
= 
Ques.7. 
Ans. 
= 
= 
= 
Ques.8. 
Ans. 
Dividing the numerator and denominator by 
= 
= 
= 
= 
Ques.9. 
Ans. Putting 
so that 
= 
= 
= 
= 
=
Ques.10. 
Ans. 
= 
[Dividing numerator and denominator by 
]
Putting 
so that 
= 
= 
= 
= 
Find the values of each of the following:
Ques.11. 
Ans.
= 
= 
= 
= 
= 
= 
Ques.12. 
Ans. = 
Ques.13. 
Ans. Putting and 
= 
= 
= 
= 
= 
= 
Ques.14. If 
then find the value of 
Ans. Given: 
Ques.15. If 
then find the value of
Ans. Given: 
Find the values of each of the expressions in Exercises 16 to 18.
Ques.16. 
Ans.
= 
= 
= 
= 
Ques17. 
Ans.
= 
= 
= 
= 
= 
Ques.18. 
Ans. Putting 
and 
;
so that 
and 
Now, 
= 
And 
and 
= 
= 
= 
= 
= 
Ques.19. 
is equal to:
(A) 
(B) 
(C)
(D) 
Ans.
= 
= 
hance, option (B) is correct.
Ques.20. 
is equal to:
(A) 
(B) 
(C) 
(D) 1
Ans. 
= 
= 
= 
= 
hance, option (D) is correct.
Ques.21. 
is equal to:
(A) 
(B) 
(C) 
(D) 
Ans.
= 
= 
= 
= 
= 
= 
hance, option (B) is correct.
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