The value of $\cos A - \sin A$ when $A = \frac{{5\pi }}{4},$ is
$\sqrt 2 $
$\frac{1}{{\sqrt 2 }}$
$0$
$1$
Find the values of other five trigonometric functions if $\tan x=-\frac{5}{12}, x$ lies in second quadrant.
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
Which of the following is correct
If $A$ lies in the second quadrant and $3\tan A + 4 = 0,$ the value of $2\cot A - 5\cos A + \sin A$ is equal to
If $\sin \theta = - \frac{1}{{\sqrt 2 }}$ and $\tan \theta = 1,$ then $\theta $ lies in which quadrant