Answer
$\sin 270^{\circ}=-1$
$\cos 270^{\circ}=0$
$\tan 270^{\circ}= \infty$ or undefined
$\csc 270^{\circ}=-1$
$\sec 270^{\circ}=\infty$ or undefined
$\cot 270^{\circ}=0$
Work Step by Step
Here, we have $\theta=\dfrac{7\pi}{2} $ and $\dfrac{7\pi}{2} \times \dfrac{180}{\pi}=630^{\circ}$
and $\theta =630^{\circ}-360^{\circ}=270^{\circ}$
The Trigonometric Identities can be defined as:
$\sin 270^{\circ}=-1$
$\cos 270^{\circ}=0$
$\tan 270^{\circ}= \infty$ or undefined
$\csc 270^{\circ}=-1$
$\sec 270^{\circ}=\infty$ or undefined
$\cot 270^{\circ}=0$