1
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is the value of tan18$$^\circ$$ ?
A
$${{\sqrt 5 - 1} \over {\sqrt {10 + 2\sqrt 5 } }}$$
B
$${{\sqrt 5 - 1} \over {\sqrt {10 + \sqrt 5 } }}$$
C
$${{\sqrt {10 + 2\sqrt 5 } } \over {\sqrt 5 - 1}}$$
D
$${{\sqrt {10 + \sqrt 5 } } \over {\sqrt 5 - 1}}$$
2
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If $$\tan (\alpha + \beta ) = 2$$ and $$\tan (\alpha - \beta ) = 1$$, then tan(2$$\alpha$$) is equal to
A
$$-$$ 3
B
$$-$$ 2
C
$$ - {1 \over 3}$$
D
1
3
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following for triangle ABC

1. $$\sin \left( {{{B + C} \over 2}} \right) = \cos \left( {{A \over 2}} \right)$$

2. $$\tan \left( {{{B + C} \over 2}} \right) = \cot \left( {{A \over 2}} \right)$$

3. $$\sin (B + C) = \cos A$$

4. $$\tan (B + C) = - \cot A$$

Which of the above are correct?
A
1 and 3
B
1 and 2
C
1 and 4
D
2 and 3
4
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If $$\sec \theta - \cos ec\theta = {4 \over 3}$$, then what is (sin$$\theta$$ $$-$$ cos$$\theta$$) equal to?
A
Only $$-$$ 2
B
Only $${1 \over 2}$$
C
Both $$-$$ 2 and Only $${1 \over 2}$$
D
Neither Only $${1 \over 2}$$ nor $$-$$ 2
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