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 tan−1 cot(cosec−1 2) equal to ?
A
$\frac{\pi}{8}$
B
$\frac{\pi}{6}$
C
$\frac{\pi}{4}$
D
$\frac{\pi}{3}$
4
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
In a triangle ABC, a = 4, b = 3, c = 2. What is cos 3C equal to ?
A
$\frac{7}{128}$
B
$\frac{11}{128}$
C
$\frac{7}{64}$
D
$\frac{11}{64}$
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