1
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The value of $${\sin ^2}5^\circ + {\sin ^2}10^\circ + {\sin ^2}15^\circ + {\sin ^2}20^\circ + .... + {\sin ^2}90^\circ $$ is
2
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
On simplifying $${{{{\sin }^3}A + \sin 3A} \over {\sin A}} + {{{{\cos }^3}A - \cos 3A} \over {\cos A}}$$ we get
3
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If $$\sin x + \sin y = a$$ and $$\cos x + \cos y = b$$, then $${\tan ^2}\left( {{{x + y} \over 2}} \right) + {\tan ^2}\left( {{{x - y} \over 2}} \right)$$ is equal to
4
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If $$p = \tan \left( { - {{11\pi } \over 6}} \right)$$, $$q = \tan \left( {{{21\pi } \over 4}} \right)$$ and $$r = \cot \left( {{{283\pi } \over 6}} \right)$$, then which of the following is/are correct?
1. The value of p $$\times$$ r is 2.
2. p, q and r are in GP.
Select the correct answer using the code given below.
1. The value of p $$\times$$ r is 2.
2. p, q and r are in GP.
Select the correct answer using the code given below.
Questions Asked from Trigonometric Angles and Equations (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