X is an angle in standard position with o less ten or equal to x which is less then or equal to 2pi
Determine the quadrant of x
cos x <0 and csc x >0
sec x <0 and csc x >0
Hello, Rimas!
$\displaystyle \cos x$ is negative in Quadrants 2 and 3.$\displaystyle x$ is an angle in standard position with $\displaystyle 0 \leq x \leq 2\pi$
Determine the quadrant of $\displaystyle x$.
$\displaystyle (1)\;\cos x < 0\,\text{ and }\,\csc x > 0$
$\displaystyle \csc x,\,\sin x$ is positive in Quadrants 1 and 2.
Therefore, $\displaystyle x$ is in Quadrant 2.
Try this one yourself . . .$\displaystyle (2)\;\sec x < 0\,\text{ and }\,\csc x >0 $