1
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the maximum value of the functions $f(x) = \frac{1}{\tan x+\cot x},$ where $0 < x < \frac{\pi}{2}?$
A
$\frac{1}{4}$
B
$\frac{1}{2}$
C
1
D
2
2
NDA Mathematics 18 April 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If $\tan A=\dfrac{1}{7}$, then what is cos 2A equal to?
A
$\dfrac{24}{25}$
B
$\dfrac{18}{25}$
C
$\dfrac{12}{25}$
D
$\dfrac{6}{25}$
3
NDA Mathematics 18 April 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If $\rm tan\:x=-\dfrac{3}{4}$ and x is in the second quadrant, then what is the value of sin x ⋅ cos x?
A
$\dfrac{6}{25}$
B
$\dfrac{12}{25}$
C
$-\dfrac{6}{25}$
D
$-\dfrac{12}{25}$
4
NDA Mathematics 18 April 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

What is the value of the following?

$\rm cosec\left(\dfrac{7\pi}{6}\right)sec\left(\dfrac{5\pi}{3}\right)$

A
$\dfrac{4}{3}$
B
4
C
-4
D
$-\dfrac{4}{\sqrt3}$
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