# Given tantheta is undefined, sintheta>0 to find the remaining trigonometric function?

When $t = \frac{\pi}{2}$ --> sin t = 1 and cos t = 0
$\tan t = \sin \frac{t}{\cos t} = \frac{1}{0} =$ undefined
$\cot t = \cot \left(\frac{\pi}{2}\right) = 0$
$\sec t = \frac{1}{\cos t} =$ undefined
$\csc t = \frac{1}{\sin} = \frac{1}{1} = 1$