1
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
$\frac{1}{\sqrt 3}$
2
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
3
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

What is the value of following?

$\rm cot \left[sin^{-1} \frac{3}{5}+cot^{-1}\frac{3}{2} \right]$

A
$\frac{6}{17}$
B
$\frac{7}{16}$
C
$\frac{16}{7}$
D
$\frac{17}{6}$
4
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the slope of the tangent of y = cos-1 (cos x) at x = $-\frac{\pi}{4}$?
A
-1
B
0
C
1
D
2
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