1
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
Let sin 2θ = cos 3θ, where θ is acute angle. What is the value of 1 + 4 sin θ? (given that $\sin 18^\circ =\frac{\sqrt 5 - 1}{4}$)
A
$\sqrt 3$
B
2
C
$\sqrt 5$
D
3
2
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If $\tan θ = - \frac{5}{12},$ then what can be the value of sin θ?
A
$\frac{5}{13}$ but cannot be $-\frac{5}{13}$
B
$-\frac{5}{13}$ but cannot be $\frac{5}{13}$
C
$\frac{5}{13}$ or $-\frac{5}{13}$
D
None of the above
3
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
$\frac{3}{16}$
4
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 
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