1
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If $$\sec (\theta - \alpha )$$, $$\sec \theta $$ and $$\sec (\theta + \alpha )$$ are in AP, where cos $$\alpha$$ $$\ne$$ 1, then what is the value of sin2$$\theta$$ + cos$$\alpha$$ ?
2
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If A + B + C = 180$$^\circ$$, then what is $$\sin 2A - \sin 2B - \sin 2C$$ equal to?
3
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
A is an angle in the fourth quadrant it satisfies the trigonometric equation $$3{(3 - {\tan ^2}A - \cot A)^2} = 1$$. Which one of the following is a value of A?
4
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is/are the solution(s) of the trigonometric equation $$\cos ec\,x + \cos x = \sqrt 3 $$ where 0 < x < 2$$\pi$$ ?
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