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

Printable View

- Feb 24th 2008, 08:02 AMRimasQuadrant x
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 - Feb 24th 2008, 08:31 AMSoroban
Hello, Rimas!

Quote:

$\displaystyle x$ 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.

Quote:

$\displaystyle (2)\;\sec x < 0\,\text{ and }\,\csc x >0 $