1
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If $$\sin A = {3 \over 5}$$, where $$450^\circ < A < 540^\circ $$, then $$\cos {A \over 2}$$ is equal to
A
$${1 \over {\sqrt {10} }}$$
B
$$ - \sqrt {{3 \over {10}}} $$
C
$${{\sqrt 3 } \over {\sqrt {10} }}$$
D
None of these
2
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is $${1 \over {\sin 10^\circ }} - {{\sqrt 3 } \over {\cos 10^\circ }}$$ equal to?
A
0
B
1
C
2
D
4
3
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
The maximum value of $$\sin \left( {x + {\pi \over 6}} \right) + \cos \left( {x + {\pi \over 6}} \right)$$ in the interval $$\left( {0,{\pi \over 2}} \right)$$ is attained at
A
$${\pi \over {12}}$$
B
$${\pi \over 6}$$
C
$${\pi \over 3}$$
D
$${\pi \over 2}$$
4
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If $$K = \sin \left( {{\pi \over {18}}} \right)\sin \left( {{{5\pi } \over {18}}} \right)\sin \left( {{{7\pi } \over {18}}} \right)$$, then what is the value of K?
A
$${1 \over 2}$$
B
$${1 \over 4}$$
C
$${1 \over 8}$$
D
$${1 \over 16}$$
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