Our ncert solutions for Solutions 2. Inverse Trigonometric Functions - Miscellaneous Exercise on Chapter - 2 | Class 12 Mathematics-I - Toppers Study is the best material for English Medium students cbse board and other state boards students.
Solutions 2. Inverse Trigonometric Functions - Miscellaneous Exercise on Chapter - 2 | Class 12 Mathematics-I - Toppers Study
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Solutions 2. Inverse Trigonometric Functions - Miscellaneous Exercise on Chapter - 2 | Class 12 Mathematics-I - Toppers Study
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Chapter 2 Mathematics-I class 12
Miscellaneous Exercise on Chapter - 2 class 12 Mathematics-I Chapter 2. Inverse Trigonometric Functions
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- Solutions 2. Inverse Trigonometric Functions - Miscellaneous Exercise On Chapter - 2 | Class 12 Mathematics-I - Toppers Study
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- Chapter 2. Inverse Trigonometric Functions Miscellaneous Exercise On Chapter - 2 Class 12
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2. Inverse Trigonometric Functions
| Miscellaneous Exercise on Chapter - 2 |
Solutions 2. Inverse Trigonometric Functions - Miscellaneous Exercise on Chapter - 2 | Class 12 Mathematics-I - Toppers Study
Find the value of the following:
Ques.1. 
Ans.
= 
= 
= 
= 
i.e., 
, value of 
lies in I quadrant.
= = 
Ques.2. 
Ans.
= 
= 
= 
= 
i.e., 
, value of 
lies in I quadrant.
= =
Ques.3. Prove that: 
Ans. Let 
so that 
Since 
= 
= 
= 
Ques.4. Prove that: 
Ans. Let 
so that 
Again, Let 
so that 
Since 
= 
= 
Ques.5. Prove that: 
Ans. Let 
so that 
Again, Let 
so that 
Since 
= 
= 
Ques.6. Prove that: 
Ans. Let 
so that 
Again, Let so that
Since 
= 
= 
Ques.7. Prove that: 
Ans. Let 
so that 
Again, Let 
so that 
Since
= 
= 
Ques.8. Prove that: 
Ans. L.H.S. = 
= 
= 
= 
= 
= 
= 
R.H.S.
Ques.9. Prove that: 
Ans. Let 
so that 
= 
= 
= 
= 
Ques.10. Prove that: 
Ans. We know that 
= 
Again, 
= 
L.H.S. = 
= 
= 
= 
Ques.11. Prove that: 
Ans. Putting 
so that 
L.H.S. = 
= 
= 
= 
Dividing every term by 
= 
= 
= 
= 
= 
= R.H.S.
Ques.12. Prove that: 
Ans. L.H.S. = 
= 
= 
…(i) 
let 
so that 
From eq. (i), 
= R.H.S.
Ques.13. Solve the equation: 
Ans.
Ques.14. Solve the equation: 
Ans. Putting 
Ques.15. 
is equal to:
(A) 
(B) 
(C) 
(D) 
Ans. Let 
where 
so that
Putting 
Therefore, option (D) is correct.
Ques.16. 
then 
is equal to:
(A) 
(B) 
(C) 0
(D) 
Ans. Putting 
so that 
or 
or 
But does not satisfy the given equation.
hance, option (C) is correct.
Ques.17. 
is equal to:
(A) 
(B) 
(C) 
(D) 
Ans.
= 
= 
= 
= 
= 
= 
hance, option (C) is correct.
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