1
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
Let ABC be a triangle. If cos2A + cos2B + cos2C = -1 then which one of the following is correct?
A
sin A sin B sin C = 0
B
sin A sin B cos C = 0
C
cos A sin B sin C = 0
D
cos A cos B cos C = 0
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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