1
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83

If $\cos^{-1} x = \sin^{-1} x$, then which one of the following is correct?

A

$x = 1$

B

$x = \frac{1}{2}$

C

$x = \frac{1}{\sqrt{2}}$

D

$x = \frac{1}{\sqrt{3}}$

2
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83

What is the number of solutions of $(\sin \theta - \cos \theta)^2 = 2$ where $-\pi < \theta < \pi$?

A

Only one

B

Only two

C

Four

D

No solution

3
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83

$ABC$ is a triangle such that angle $C = 60^{\circ}$, then what is $\frac{\cos A + \cos B}{\cos \left(\frac{A - B}{2}\right)}$ equal to?

A

2

B

$\sqrt{2}$

C

1

D

$\frac{1}{\sqrt{2}}$

4
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83

What is $\sqrt{15 + \cot^2 \left( \frac \pi 4 - 2 \cot^{-1} 3 \right)}$ equal to?

A

1

B

7

C

8

D

16

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