1
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
$\frac{\pi}{3}$
2
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If $\tan^{-1} \left(\frac{1}{2}\right)+\tan^{-1} \left(\frac{x}{3}\right)=\frac{\pi}{4},$ where 0 < x < 6, then what is x equal to?
A
1
B
2
C
3
D
5
3
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If 3 sin-1x + cos-1x = π, then what is x equal to?
A
0
B
$\frac{1}{2}$
C
$\frac{1}{\sqrt 2}$
D
$\frac{1}{\sqrt 3}$
4
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
Let sin-1x + sin-1y + sin-1z = $\frac{3\pi}{2}$ for 0 ≤ x, y z ≤ 1. What is the value of x1000 + y1001 + z1002?
A
0
B
1
C
3
D
6
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