If $\cos \theta - \sin \theta = \sqrt 2 \sin \theta ,$ then $\cos \theta + \sin \theta $ is equal to
$\sqrt 2 \cos \theta $
$\sqrt 2 \sin \theta $
$2\cos \theta $
$ - \sqrt 2 \cos \theta $
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
The circular wire of diameter $10\,cm$ is cut and placed along the circumference of a circle of diameter $1\, metre.$ The angle subtended by the wire at the centre of the circle is equal to
The radius of the circle whose arc of length $15\,cm$ makes an angle of $3/4$ radian at the centre is .....$cm$
If $\sec \theta + \tan \theta = p,$ then $\tan \theta $ is equal to
$\cos 15^\circ = $