Daily Practice Problems undefined Inverse Trigonometric Functions

Question 1:

Write down the principal value branches for all the inverse trigonometric functions.

Question 2:

What will be the principal values for following?

Question 3:

Question 4:

Find the value of sin^-1(-1/2) + 2cos^-1(-1/2).

Question 5:

Find the value of tan^-1( $\sqrt{- 3}$ ) – cosec^-1(-2).

Question 6:

If cos^–1 x = y, then

(a) 0 ≤ y ≤ π

(b) –π/2 ≤ y ≤ π/2

(d) –π/2 < y < π/2

Question 7:

If cos^-1(6/10) = x, then find the value of sin(x).

Question 8:

Find the value of

Question 9:

Question 10:

If cos(cos^-1(1/5) + sin^-1x) = 0, then find the value of x.

Question 11:

Find the value of cot(sin^-1x) and hence evaluate cot(sin^-1(15/17)).

Question 12:

One branch of sec^–1 other than the principal value branch corresponds to:

(a) [0, π] – {π/2}

(b) [2π, 4π]

(d) [π/2, 3π/2] – {π}

Question 13:

The value of tan(sin^-1x) is:

Question 14:

Find the domain of the function y = cos^–1(– x²).

Question 15:

The domain of the function defined by f(x) = cos^-1x + sin x is

(a) [–1, 1]

(b) [–1, π + 1]

(d) φ

Question 16:

Question 17:

If 3cot^-1x + tan^-1x = π, then value of x is equal to:

(a) 0

(b) 1

(d) 1/2

Question 18:

If = 0, then find the value of x.

Question 19:

The value of sin(sin^–1x + cos^–1x); |x| ≤ 1 is:

(a) 0

(b) π/2

(d) -1

Question 20:

All trigonometric functions have inverse over their respective domains. State whether the given statement is true or false.

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Practicing questions plays a pivotal role in achieving excellence in exams. Just as the adage goes, "Practice makes perfect," dedicating time to solve a diverse range of exam-related questions yields manifold benefits. Firstly, practicing questions allows students to familiarize themselves with the exam format and types of problems they might encounter. This familiarity instills confidence, reducing anxiety and improving performance on the actual exam day. Secondly, continuous practice sharpens problem-solving skills and enhances critical thinking, enabling students to approach complex problems with clarity and efficiency. Thirdly, it aids in identifying weak areas, allowing students to focus their efforts on improving specific topics. Moreover, practice aids in memory retention, as active engagement with the material reinforces learning. Regular practice also hones time management skills, ensuring that students can allocate appropriate time to each question during the exam. Overall, practicing questions not only boosts exam performance but also instills a deeper understanding of the subject matter, fostering a holistic and effective learning experience.

All About Daily Practice Problems on Class 12 Maths Inverse Trigonometric Functions NCERT Chapter 2

Our Daily Practice Problems (DPPs) offer a diverse range of question types, including Multiple Choice Questions (MCQs) as well as short and long answer types. These questions are categorized into Easy, Moderate, and Difficult levels, allowing students to gradually progress and challenge themselves accordingly. Additionally, comprehensive solutions are provided for each question, available for download in PDF format - Download pdf solutions as well as Download pdf Questions. This approach fosters a holistic learning experience, catering to different learning styles, promoting self-assessment, and improving problem-solving skills. With our well-structured DPPs, students can excel in exams while gaining a deeper understanding of the subject matter. Hope you found the content on Class 12 Maths Inverse Trigonometric Functions NCERT Chapter 2 useful.

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