1
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the value of tan2 165° + cot2 165° ?
A
7
B
14
C
4$\sqrt{3}$
D
8$\sqrt{3}$
2
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the value of $\sin\left(2\text{n}\pi+\frac{5\pi}{6}\right)\sin\left(2\text{n}\pi−\frac{5\pi}{6}\right)$ where n ∈ Z ?
A
$−\frac{1}{4}$
B
$−\frac{3}{4}$
C
$\frac{1}{4}$
D
$\frac{3}{4}$
3
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If 1 + 2(sin x + cos x)(sin x − cos x) = 0 where 0 < x < 360°, then how many values does x take ?
A
Only one value
B
Only two values
C
Only three values
D
Four values
4
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the maximum value of 3(sin x − cos x) + 4(cos3 x − sin3 x) ?
A
1
B
$\sqrt{2}$
C
$\sqrt{3}$
D
2
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