If $A = 130^\circ $ and $x = \sin A + \cos A,$ then
$x > 0$
$x < 0$
$x = 0$
$x \le 0$
(a) $x = \cos 40^\circ + \cos 130^\circ $
$= 2\cos 85^\circ \cos 45^\circ > 0$.
If $(1 + \sin A)(1 + \sin B)(1 + \sin C)$$ = (1 – \sin A)(1 – \sin B)(1 – \sin C),$ then each side is equal to
If $\sin x + {\sin ^2}x = 1$, then the value of ${\cos ^{12}}x + 3{\cos ^{10}}x + 3{\cos ^8}x + {\cos ^6}x – 2$ is equal to
If $\left| {\,a\,{{\sin }^2}\theta + b\sin \theta \cos \theta + c\,{{\cos }^2}\theta – \frac{1}{2}(a + c)\,} \right|\, \le \frac{1}{2}k,$ then ${k^2}$ is equal to
If $\alpha = 22^\circ 30',$ then $(1 + \cos \alpha )(1 + \cos 3\alpha )$ $(1 + \cos 5\alpha )(1 + \cos 7\alpha )$ equals
Find the angle in radian through which a pendulum swings if its length is $75\, cm$ and the tip describes an arc of length.
$15\,cm$
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