1
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
$${\pi \over 2}$$
2
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
$${1 \over 16}$$
3
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
The expression $${{\sin \alpha + \sin \beta } \over {\cos \alpha + \cos \beta }}$$ is equal to
A
$$\tan \left( {{{\alpha + \beta } \over 2}} \right)$$
B
$$\cot \left( {{{\alpha + \beta } \over 2}} \right)$$
C
$$\sin \left( {{{\alpha + \beta } \over 2}} \right)$$
D
$$\cos \left( {{{\alpha + \beta } \over 2}} \right)$$
4
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If $$\sin \theta = 3\sin (\theta + 2\alpha )$$, then the value of tan ($$\theta$$ + $$\alpha$$) + 2 tan$$\alpha$$ is equal to
A
$$-$$ 1
B
0
C
1
D
2
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