1
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the value of $\cos^4\frac{7\pi}{8}+\cos^4\frac{5\pi}{8}?$
A
$\frac{3}{2}$
B
$\frac{3}{4}$
C
$\frac{3}{8}$
D
$\frac{3}{16}$
2
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is $\sin^2\left(\frac{\pi}{4}+\theta\right)-\sin^2\left(\frac{\pi}{4}-\theta\right)$ equal to?
A
sin 2θ 
B
cos 2θ 
C
2 sin θ 
D
2 cos θ 
3
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If tan α + tan β = 1 - tan α.tan β, where tan α tan β ≠ 1, then which of the following is one of the values of (α + β) ?
A
$\frac{\pi}{6}$
B
$\frac{\pi}{4}$
C
$\frac{\pi}{3}$
D
$\frac{\pi}{2}$
4
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If (1 + tan θ) (1 + tan 9θ) = 2, then what is the value of tan(10θ)?
A
0
B
1
C
2
D
Infinite
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