NDA Mathematics 4 September 2022 | Trigonometric Angles and Equations Question 27 | Mathematics

What is the value of $\cos \left(\frac{5 \pi}{17}\right)+\cos \left(\frac{7 \pi}{17}\right)+2 \cos \left(\frac{11 \pi}{17}\right) \cos \left(\frac{\pi}{17}\right)$ ?

4 cos$\left(\frac{6 \pi}{17}\right)$ cos$\left(\frac{\pi}{17}\right)$

4 cos$\left(\frac{11 \pi}{17}\right)$ cos$\left(\frac{\pi}{17}\right)$

NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+2.5

-0.83

What is the value of tan$\left(\frac{3\pi}{8}\right)$ ?

$\sqrt{2}$ − 1

$\sqrt{2}$ + 1

1 − $\sqrt{2}$

−($\sqrt{2}$ + 1)

NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+2.5

-0.83

What is cos 36° − cos 72° equal to ?

$\frac{\sqrt{5}}{2}$

$−\frac{\sqrt{5}}{2}$

$\frac{1}{2}$

$−\frac{1}{2}$

NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+2.5

-0.83

If sec x = $\frac{25}{24}$ and x lies in the fourth quadrant, then what is the value of tan x + sin x ?

$−\frac{625}{168}$

$−\frac{343}{600}$

$\frac{625}{168}$

$\frac{343}{600}$

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