1
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following statements
1. Theer exists $$\theta \in \left( { - {\pi \over 2},{\pi \over 2}} \right)$$ for which $${\tan ^{ - 1}}(\tan \theta ) \ne 0$$.
2. $${\sin ^{ - 1}}\left( {{1 \over 3}} \right) - {\sin ^{ - 1}}\left( {{1 \over 5}} \right)$$
$$ = {\sin ^{ - 1}}\left( {{{2\sqrt 2 (\sqrt 3 - 1)} \over {15}}} \right)$$
Which of the above statements is/are correct?
1. Theer exists $$\theta \in \left( { - {\pi \over 2},{\pi \over 2}} \right)$$ for which $${\tan ^{ - 1}}(\tan \theta ) \ne 0$$.
2. $${\sin ^{ - 1}}\left( {{1 \over 3}} \right) - {\sin ^{ - 1}}\left( {{1 \over 5}} \right)$$
$$ = {\sin ^{ - 1}}\left( {{{2\sqrt 2 (\sqrt 3 - 1)} \over {15}}} \right)$$
Which of the above statements is/are correct?
2
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following statements
1. $${\tan ^{ - 1}}x + {\tan ^{ - 1}}\left( {{1 \over x}} \right) = \pi $$
2. Their exist, $$x,y \in [ - 1,1]$$, where x $$\ne$$ y such that $${\sin ^{ - 1}}x + {\cos ^{ - 1}}y = {\pi \over 2}$$.
Which of the above statements is/are correct?
1. $${\tan ^{ - 1}}x + {\tan ^{ - 1}}\left( {{1 \over x}} \right) = \pi $$
2. Their exist, $$x,y \in [ - 1,1]$$, where x $$\ne$$ y such that $${\sin ^{ - 1}}x + {\cos ^{ - 1}}y = {\pi \over 2}$$.
Which of the above statements is/are correct?
3
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The value of $${\sin ^{ - 1}}\left( {{3 \over 5}} \right) + {\tan ^{ - 1}}\left( {{1 \over 7}} \right)$$ is equal to
4
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The principal value of $${\sin ^{ - 1}}x$$ lies in the interval
Questions Asked from Inverse Trigonometric Function (Marks 2.5)
Number in Brackets after Paper Indicates No. of Questions
NDA Subjects
Mathematics
Algebra
Sets, Relations and Functions Logarithms Quadratic Equations and Inequalities Sequence And Series Binomial Theorem Matrices Determinants Permutations and Combinations Probability Complex Numbers Vector Algebra Three Dimensional Geometry Statistics
Trigonometry
Trigonometric Angles and Equations Inverse Trigonometric Function Height and Distance Properties of Triangles
Coordinate Geometry
Calculus
English
General Studies