If $\sin x = \frac{{ - 24}}{{25}},$ then the value of $\tan \, x$ is
$\frac{{24}}{{25}}$
$\frac{{ - 24}}{7}$
$\frac{{25}}{{24}}$
None of these
Find the angle in radian through which a pendulum swings if its length is $75\, cm$ and the tip describes an arc of length.
$10 \,cm$
If $\cos \theta = \frac{1}{2}\left( {x + \frac{1}{x}} \right)$, then $\frac{1}{2}\left( {{x^2} + \frac{1}{{{x^2}}}} \right) = $
Find the values of other five trigonometric functions if $\cos x=-\frac{1}{2}, x$ lies in third quadrant.
Prove that
$3 \sin \frac{\pi}{6} \sec \frac{\pi}{3}-4 \sin \frac{5 \pi}{6} \cot \frac{\pi}{4}=1$
If the arcs of the same length in two circles $S_1$ and $S_2$ subtend angles $75^o $ and $120^o $ respectively at the centre. The ratio $\frac{{{S_1}}}{{{S_2}}}$ is equal to