1
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the value of $\cos \left(\frac{5 \pi}{17}\right)+\cos \left(\frac{7 \pi}{17}\right)+2 \cos \left(\frac{11 \pi}{17}\right) \cos \left(\frac{\pi}{17}\right)$ ?
A
0
B
1
C
4 cos$\left(\frac{6 \pi}{17}\right)$ cos$\left(\frac{\pi}{17}\right)$
D
4 cos$\left(\frac{11 \pi}{17}\right)$ cos$\left(\frac{\pi}{17}\right)$
2
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the value of tan$\left(\frac{3\pi}{8}\right)$ ?
A
$​\sqrt{2}$ − 1
B
$​\sqrt{2}$ + 1
C
1 − $\sqrt{2}$
D
−($\sqrt{2}$ + 1)
3
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is cos 36° − cos 72° equal to ?
A
$\frac{\sqrt{5}}{2}$
B
$−\frac{\sqrt{5}}{2}$
C
$\frac{1}{2}$
D
$−\frac{1}{2}$
4
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If sec x = $\frac{25}{24}$ and x lies in the fourth quadrant, then what is the value of tan x + sin x ?
A
$−\frac{625}{168}$
B
$−\frac{343}{600}$
C
$\frac{625}{168}$
D
$\frac{343}{600}$
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