1
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If $$\sin \alpha + \cos \alpha = p$$, then what is $${\cos ^2}(2\alpha )$$ equal to?
A
p2
B
p2 $$-$$ 1
C
p2 (2 $$-$$ p2)
D
p2 + 1
2
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If $$\tan \theta = {1 \over 2}$$ and $$\tan \phi = {1 \over 3}$$, then what is the value of $$(\theta + \phi )$$ ?
A
0
B
$${\pi \over 6}$$
C
$${\pi \over 4}$$
D
$${\pi \over 2}$$
3
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If $$\cos A = {3 \over 4}$$, then what is the value of $$\sin \left( {{A \over 2}} \right)\sin \left( {{{3A} \over 2}} \right)$$ ?
A
$${5 \over 8}$$
B
$${5 \over 16}$$
C
$${5 \over 24}$$
D
$${7 \over 32}$$
4
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is the value of $$\tan 75^\circ + \cot 75^\circ $$ ?
A
2
B
4
C
$$2\sqrt 3 $$
D
$$4\sqrt 3 $$
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