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 ${\tan ^2}\alpha {\tan ^2}\beta + {\tan ^2}\beta {\tan ^2}\gamma + {\tan ^2}\gamma {\tan ^2}\alpha $$ + 2{\tan ^2}\alpha {\tan ^2}\beta {\tan ^2}\gamma = 1,$ then the value of ${\sin ^2}\alpha + {\sin ^2}\beta + {\sin ^2}\gamma $ is
$\cot x – \tan x = $
If $\tan \theta + \sin \theta = m$ and $\tan \theta – \sin \theta = n,$ then
If $x = \sec \theta + \tan \theta ,$ then $x + \frac{1}{x} = $
In a right angled triangle the hypotenuse is $2 \sqrt 2$ times the perpendicular drawn from the opposite vertex. Then the other acute angles of the triangle are
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