1
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
2
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If f(α) = $\sqrt{\sec^2\alpha−1}$, then what is $\frac{f(\alpha)+f(\beta)}{1−f(\alpha) f(\beta)}$ equal to ?
A
f(α − β)
B
f(α + β)
C
f(α) f(β)
D
f(αβ)
3
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is value of cot2 15° + tan2 15° ?
A
12
B
14
C
$8\sqrt 3$
D
4
4
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
In a triangle ABC, sin A - cos B - cos C = 0. What is angle B equal to?
A
$\frac{\pi}{6}$
B
$\frac{\pi}{4}$
C
$\frac{\pi}{3}$
D
$\frac{\pi}{2}$
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