Find the values of all trigonometric functions of 135
$\sin 135^{\circ}=\sin \left(180^{\circ}-45^{\circ}\right)$.............. .(using $\sin \left(180^{\circ}-x\right)=\sin x$ )
$=\sin 45^{\circ} \Rightarrow \frac{1}{\sqrt{2}}$
$\operatorname{Cos} 135^{\circ}=\cos \left(180^{\circ}-45^{\circ}\right)$ ...................$. .\left(\right.$ using $\left.\cos \left(180^{\circ}-x\right)=-\cos x\right)$
$=\cos 45^{\circ} \Rightarrow-\frac{1}{\sqrt{2}}$
$\operatorname{Tan} 135^{\circ}=\frac{\sin 135^{\circ}}{\cos 135^{\circ}} \Rightarrow \frac{1 / \sqrt{2}}{-1 / \sqrt{2}}=-1$
$\operatorname{cosec} 135^{\circ}=\frac{1}{\sin 135^{\circ}} \Rightarrow \sqrt{2}$
$\sec 135^{\circ}=\frac{1}{\cos 135^{\circ}} \Rightarrow-\sqrt{2}$
$\cot 135^{\circ}=\frac{1}{\tan 135^{\circ}} \Rightarrow-1$