Toppers Study Toppers Study Toppers StudyDetailed NCERT Solutions for 12 Mathematics I 2. Inverse Trigonometric Functions to simplify learning. Understand chapters clearly and practice with free solutions for better results.
Detailed NCERT Solutions for 12 Mathematics I 2. Inverse Trigonometric Functions to simplify learning. Understand chapters clearly and practice with free solutions for better results.
Preparing for exams becomes easier with Miscellaneous Exercise on Chapter - 2. Whether you are studying for board exams or mid-term exams, 12 Mathematics I Chapter 2. Inverse Trigonometric Functions solutions provide quick revising points, well-structured answers, and additional practice material to help you score better.
ncert_solutionsFind 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.
Miscellaneous Exercise on Chapter - 2 are created by experts to give step-by-step explanations. Around 60–70% of exam questions are based on NCERT concepts. Our 12 Mathematics I Chapter 2. Inverse Trigonometric Functions solutions help you understand the core concepts and practice effectively.
Revision is the key to exam success. Our notes for 12 Mathematics I highlight important formulas, key definitions, and exam-ready points from Chapter 2. Inverse Trigonometric Functions. These quick revision notes make last-minute preparation easy.
Every NCERT chapter ends with exercises, and solving them is crucial. Our Miscellaneous Exercise on Chapter - 2 include complete solutions for 12 Mathematics I Chapter 2. Inverse Trigonometric Functions exercises. With step-by-step answers, you gain clarity and confidence to attempt similar exam questions.
To boost your preparation, we also provide additional important questions with answers. These are prepared from previous year board papers, sample papers, and important concepts of Chapter 2. Inverse Trigonometric Functions. Practicing these ensures you are well-prepared for both board and mid-term exams.
Our Miscellaneous Exercise on Chapter - 2 are useful for both board exams and mid-term exams. For 12 Mathematics I, we provide notes, exercises, and important Q&A so that you can revise smartly and write perfect answers in exams.
In short, Miscellaneous Exercise on Chapter - 2 for 12 Mathematics I Chapter 2. Inverse Trigonometric Functions are a complete study package. With quick revising points, NCERT exercises, and additional important questions, you can prepare effectively for exams. Make these solutions your study companion and excel in your academic journey.
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