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Inverse Trigonometric Functions MATHS - Inverse Trigonometric Functions

Rajasthan Board (RBSE) - STD 12 Science - MATHS (Rajasthan - English Medium). 302 questions in this chapter.

Question types

Inverse Trigonometric Functions question types

302 questions across 5 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

302
Questions
5
Question groups
5
Question types
Sample Questions

Inverse Trigonometric Functions questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 4M.C.Q (1 Marks)1 Mark
If $\sin^{-1}\Big(\frac{2\text{a}}{1-\text{a}^2}\Big)+\cos^{-1}\Big(\frac{1-\text{a}^2}{1+\text{a}^2}\Big)=\tan^{-1}\Big(\frac{2\text{x}}{1-\text{x}^2}\Big),$ where $\text{a},\text{x}\in(0,1),$ then the value of x is:
  1. $0$
  2. $\frac{\text{a}}{2}$
  3. $\text{a}$
  4. $\frac{2\text{a}}{1-\text{a}^2}$
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Q 5M.C.Q (1 Marks)1 Mark
$2\tan^{-1}\big\{\text{cosec}\big(\tan^{-1}\text{x}\big)-\tan\big(\cot^{-1}\text{x}\big)\big\}$ is equal to:
  1. $\cot^{-1}\text{x}$
  2. $\cot^{-1}\text{x}$
  3. $\tan^{-1}\text{x}$
  4. $\text{none of these}$
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Q 183 Marks Question3 Marks
Sum the following siries:
$\tan^{-1}\frac{1}{3}+\tan^{-1}\frac{2}{9}+\tan^{-1}\frac{4}{33}+...+\tan^{-1}\frac{2^{\text{n}-1}}{1+2^{2\text{n}-1}}$
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