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

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
Change Language

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

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

What is $\tan^{-1} \left( \frac{a}{b} \right) - \tan^{-1} \left( \frac{a - b}{a + b} \right)$ equal to?

A

$-\frac{\pi}{4}$

B

$\frac{\pi}{4}$

C

$\tan^{-1} \left( \frac{a^2 - b^2}{a^2 + b^2} \right)$

D

$\tan^{-1} \left( \frac{2ab}{a^2 + b^2} \right)$

4
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is 2 cot $\left(\frac{1}{2} \cos ^{-1} \frac{\sqrt{5}}{3}\right)$ equal to ?
A
-1
B
1
C
3 + √5
D
3 - √5
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